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In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma I f a comma" width="74" height="16" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mi»I«/mi»«mi»f«/mi»«mi»a«/mi»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAI9JREFUeNpjYEAF34CYiYEIoALElxiIBAFAvJxYxfVAXA3EjUD8HIh/APF+IJbEpngVEN8F4nIgFoS6vQ+XbbeAWAtNjA+IP6ErZIKGBDrgwKbYHOo+dGAJxHvRBSOBeD4WxUVAXIsuOAmIE9HE2KDhjhEa66AedIHypaFiidhC4iUQ+0E1/AHiC9BIIh8AAMAsGy4dMIQXAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5iPC9taT48L21hdGg+T1Yk2QAAAABJRU5ErkJggg==" class="Wirisformula" alt="b" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»b«/mi»«/math»'/>, care in H.P., then <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin invisible function application 2 A over 2" width="54" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#8289;«/mo»«mn»2«/mn»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«/math»'/> , Sin2 <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator B over denominator 2 end fraction" width="18" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mi»B«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> , Sin2 <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator C over denominator 2 end fraction" width="20" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mi»C«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> are in

Solution for the question - in /_\abc, lfa, b , care in h.p., then sin 2(a)/(2) , sin2 (8)/(2) , sin2(epsi)/(2) are in a.g.p. '/>   h.p '/>   gp '/>

In /_\abc, lfa, b , care in h.p., then sin 2(a)/(2) , sin2 (8-Turito

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Solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUcAAAASCAYAAADIfRybAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABEJJREFUeNrtXE9kHFEYfyIiapWqqqgKVVVREXqoWFUhoofKoeSwcooSFVG9Vw7Vy+qhqqpEVUVUqaiqqhJVEStKRFUPVXroqaL0EFGxlu332W+bMZ038/7Oe5l5Pz4yszM73/t+v/fmfd97WcYCAvZxAWwNbA+sTRYQEBBQagyBbYGdC6EIyAl1sB2yeghHQBLmPBDHEthFjzrNXOC98ANjA2yAbD0hFmXRQQAHw2AbHvjxC2wa7AfYN7Apx/40KDaB92JilwbFLgZoBumVDtoCVjT41GYkfyTh/BmwBbBPnPuqYCskqCZdN8259jDYI7CPZIt0LooW2GM630d/zzjk6DzNJsrGe97IW2eyg6MNHaj4+09AZYOrNo9QJ0nCMthsim+4cFIDq9DxEH1XLeHa92CTkeMrdC4KnC32RI4rNIt0iXXqHGXiPW/krTNeWt1IKTHY0oGMv4UYHNsHqJPcBZs36Nsg2OfYOUyPHyRcez8mcJwpHokc4+xx03H8bjDxmlzRePe53+joLD5A7pLVDelAFCr+ZgZpkqagTZptVDn348O/s862EHz7nBRw+BonCHfoM1edxFab37HsRRDZ9uzFjjElmki4bow+6wLrOkuUVvSCPQS7bCHmMhyPZr3JC8a7Cf3nNalQ1ZkKZHQgCiV/s4L0jKbWCKxJfUm4f4rejoOR69YEncbtJMcjxzPUUV3OHG21eYdmaKbaM5qQrv3mPAPPbcfOTVMn32ZyCzKyMRfluI9Thyoy77r6z2Nw1NWZLNJ0oFpHVvJXJkg99FaN3z8mcB0POFu5R3+PK7wxbKdXJtvcMuhbP81yqhLPaDroWLIcN0vGu67+bXPoSmdNw+1V8retGdS2ge9dBbvEOitjRwWer7sC6arNpgZHrBW+4qQJLYnUSKb9ujEX5bhZQt7z1r+vOnM1OO6pBmmB6i8tTvBNDI43KRjDih3X9D222mwirT5Fgj3N+Xyb84x+A+mOTsxFOHadVrviXUf/tjh0qTMbabWSv2lBWqQaS7/FmWN3XxWmFjUPBkebbV5NSE9kvuMs66wyH0q5ZoUlL6xMMP1CuWrMRTl2uSDjindd/dvg0LXObC3ISPvbznjj2Uyr8e30mkjAfVWbAmmF7U5is806W3mwaP+CdVaW03CVhB3HU4OdTybmMhzPU4zKwrsJ/Zvm0AedyehAFEr+phH7le1vKTjBOlsMftLfuoI5BvY2JgbclLnseHC02WaRzcC873hDb3QRfKBUrZdSiVtMfPeAyZjLciyz+feg825K/6Y59EFntjaBS/ubRizWQLaoHoIrVvgTV7djObqKYNCxlzHhdfGcie+3s9G5bbW5iw1ObSmrdiJTY8FC+hPWKTT/oZSxwvKFLMc2/23MN95d6t93ndnUgQ/9IiCjE26EMPyH8MMTAWXQQUAGrrPwe3ZRYH1pNvAedOBSB38BdnY6ANXqv/0AAAGcdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlRhbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPng8L21pPjxtbz4rPC9tbz48bWk+VGFuPC9taT48bW8+JiN4QTA7PC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bXN1cD48bW4+MTIwPC9tbj48bW4+NjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bWk+eDwvbWk+PC9tcm93PjwvbWZlbmNlZD48bW8+KzwvbW8+PG1pPlRhbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1zdXA+PG1uPjEyMDwvbW4+PG1vPiYjeDIyMTg7PC9tbz48L21zdXA+PC9tcm93PjwvbWZlbmNlZD48bW8+PTwvbW8+PG1uPjA8L21uPjwvbWF0aD5phDIoAAAAAElFTkSuQmCC" class="Wirisformula" alt="Tan space x plus Tan space open parentheses 120 to the power of 6 plus x close parentheses plus Tan space open parentheses x minus 120 to the power of ring operator close parentheses equals 0" width="327" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«msup»«mn»120«/mn»«mn»6«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mi»x«/mi»«mo»§#8722;«/mo»«msup»«mn»120«/mn»«mo»§#8728;«/mo»«/msup»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»'/> is

Solution for the question - solution of tan x+tan(120^(6)+x)+tan(x-120^(@))=0 is (n pi)/(2),aa pi in z '/> (pi pi)/(4),aa pi in z '/> (n pi)/(6),aa pi in z'/> (n pi)/(3),aa pi in z '/>

Solution of tan x+tan(120^(6)+x)+tan(x-120^(@))=0 is -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Tan space bold A plus Tan space 2 bold A plus square root of 3 Tan space bold ATan 2 bold A equals square root of 3" width="301" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tan«/mi»«mo»§#160;«/mo»«mi mathvariant=¨bold¨»A«/mi»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi mathvariant=¨bold¨»A«/mi»«mo»+«/mo»«msqrt»«mn»3«/mn»«/msqrt»«mi»Tan«/mi»«mo»§#160;«/mo»«mi mathvariant=¨bold¨»ATan«/mi»«mn»2«/mn»«mi mathvariant=¨bold¨»A«/mi»«mo»=«/mo»«msqrt»«mn»3«/mn»«/msqrt»«/math»'/> then the general solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAjCAYAAAATx8MeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAQRJREFUeNpjYCANFDAMMhAOxL+AmGWwOEgQiC8B8W4gDhgsjpoJxJFAHA/EUwaDgyyBeAuULQ7EdwfaQaD0cwaIZZHEzgGxxkA6qh6IS9DEWoE4a6AcpAENFXRgD8SbBspRh4H4Pw48IEVDGhBPwCO/HIi96OkgSWiZxINHTTIBR1MdrAJiHwJqpIH4FsMoGAUDA/4TgYefj4aNb4df9I2CYQWsgXgNEH+CNlUuAHH0QDvqILSzAGstaAHxUajYoALy0GbNoAM/BpuDLKFROGgABxCfhGaAQdNt3wDEboPFQUpQB6kMFgeB+n6zgZhrsDhIHNqJYBlMCXvLQI8ZkNoOoikAAEDdUj6jFNxcAAAAbHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bWk+QTwvbWk+PG1uPjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjwvbWF0aD6iEo0zAAAAAElFTkSuQmCC" class="Wirisformula" alt="A over 2 equals" width="37" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«mo»=«/mo»«/math»'/>

Solution for the question - if tan a+tan 2a+sqrt3an at mn 2a=sqrt3 then the general solution of(a)/(2)= (pi pi)/(3)+(pi)/(4),aa n in z '/> (pi pi)/(6)+(pi)/(18),aa n in z '/>

If tan a+tan 2a+sqrt3an at mn 2a=sqrt3 then the general sol-Turito

Region <img src="data:image/png;base64,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" class="Wirisformula" alt="O A" width="24" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«/math»'/> shows that graph bending toward time axis <img src="data:image/png;base64,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" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> acceleration is negative. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="A B" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»B«/mi»«/math»'/> shows that graph is parallel to time axis<img src="data:image/png;base64,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" class="Wirisformula" alt="i. e. blank" width="31" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«mi» «/mi»«/math»'/>velocity is zero. Hence acceleration is zero. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="B C" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«mi»C«/mi»«/math»'/> shows that graph is bending towards displacement axis <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAANCAYAAAC3mX7tAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAALFJREFUeNpjYMAE34CYiYHGQAWILzEMJ1APxOVEqhUH4jVA/AOIHwKxPSkWrQLiACLU8UGD2A/K1wLiK6RYdAuIpYlQ1wXElWhiW4CYjRhLmKApjhh1H4BYFE3sE7Gp1RyI9xOp7j8WfJTYYIsE4vlEqPODxiXZYBIQJxOhzhKIT1Ji0Tog9sIiDgsaZHANiAugcSIITRi2ROpleAfEHEQqVgLiw0D8B2oprpDAahFNAQC0vihw6wxFbQAAAGd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+aTwvbWk+PG1vPi48L21vPjxtaT5lPC9taT48bW8+LjwvbW8+PC9tYXRoPnNjQt0AAAAASUVORK5CYII=" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> acceleration is positive. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="C D blank" width="28" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«mi» «/mi»«/math»'/>shows that graph having constant slope <img src="data:image/png;base64,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" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> velocity is constant. Hence acceleration is zero

The graph between the displacement <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAMCAYAAACulacQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAFJJREFUeNpjYEAAFSA+yoADBAHxUmwS9UD8HwmXoytYBcQBuIy9AcTy2CSYgPgbLl3mQHwQl2QkEC/EJTkBiHNwSU4B4rm4JLWA+CnUj2wMxAAAUOcO8HZIaP0AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjwvbWF0aD5btF3eAAAAAElFTkSuQmCC" class="Wirisformula" alt="t" width="7" height="12" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«/math»'/> for a particle moving in a straight line is shown in figure. During the interval <img src="data:image/png;base64,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" class="Wirisformula" alt="O A comma A B comma B C" width="76" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«mo»,«/mo»«mi»A«/mi»«mi»B«/mi»«mo»,«/mo»«mi»B«/mi»«mi»C«/mi»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="C D comma" width="29" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«mo»,«/mo»«/math»'/> the acceleration of the particle is <img src="data:image/png;base64,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" alt="" /> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAPCAYAAAB6Iuj1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAl9JREFUeNrll0FkXFEUhseIqIjSRVSMCFExsojZVMwiIswiKosoUSMqKmQRXXQxRFRlEdlEFhHdVIyKqiGiorobXVVlUzWiYoQsIqsoo0bFGCH5L//jenNn7rl33gjJz7eYN2/+8+555557JhYzaxTkwQWogl0wErPrTSx62Txr4AqcgVPwFfR7xpJ6DYENUAKXvH8NPDKZvgMH4CmIkxn+aKzFw7wAddAVYTJtnk+4KF1qYR89Ykm9cuAbGGdulAb44hvivgUfmgScNAQMpN7MESgy+VFI4qmufw5de264JpHEaxnsSA2HQVnLuknVJmWtXkIWzIP3ESVU4rnKRepS7WnKI57Na5htQLwDN8Fryz1FlrquNLeA0mMGbVdSzz1WliqCFPu+bx+3eW26ev8Bg5Z7zsFD7bN6W7/YQwL9Bsk2kunieQKuyX/PypR6HbPPihTnaWVb6D/DNsmFrq2DpTYWJvWMc+FK3SADDrk1XWXzinMCEKub/bGVZsEn7XOSlRPWBMcNH7l4qonje+jaHMcZV9m8JPlpeEN1y4H0MzQ2/dC2SBjf8cnFM8s+p+ulyyns6KUquMfFVB0Cr5p8txIapxbBVguvAnjmuChXz23D8+aZHFdJvPKGVmQdbMscU4JKSHGb68ns53zY28JrIZScAqus2Tzp4/lFOzj62JJK3J7SuC5e6sCusLiC0fEBmGayMybjAX6pfviXQ23aMF5MWx4wwVNTujAfz4rWDmqMkTBUtSShEq+g6HbZT695SO977MZIVLilwLcVt6NKcc7tuidxO64E//Hc+bg3YjKylbWTJbYAAACtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjxtaT5BPC9taT48bW8+LDwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPkE8L21pPjxtaT5CPC9taT48bW8+LDwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48L21hdGg+1AvrYgAAAABJRU5ErkJggg==" class="Wirisformula" alt="O A comma blank A B comma blank B C" width="84" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«mo»,«/mo»«mi» «/mi»«mi»A«/mi»«mi»B«/mi»«mo»,«/mo»«mi» «/mi»«mi»B«/mi»«mi»C«/mi»«/math»'/>, <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAANCAYAAACzbK7QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAARJJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIim7gcQ/0fCX4B4FRDLM+ABJUC8BYhtgZgJKiYLxAVAPB9JnQrUATAAUisJxDlQBwVhM7wciGczEAcCgHgpDrlQIP6E5EAwUAPiu0DMQqQF9VDf4gKg4DJFFuiBBgOxABTWfnjk9wKxC7LANWi4EgtuQcMcF7gPxKLIEfSDBMOZoEGAC3AB8UtkATZopBALzKFBgAvEY0ssX6A2EwMigXguHvlLQKyHLjiXQKpABpOAOBGH3AQoxgCg3PcOiCuRciwHEPtALUdOEeuA2AMtiN2AeBsQT8PnMlAqWgiND1DW/wDEa4DYC03dO6Ti4Q80QkGZzpKB3gAAo5Q2qtpORIkAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkM8L21pPjxtaT5EPC9taT48L21hdGg+ImzGpgAAAABJRU5ErkJggg==" class="Wirisformula" alt="C D" width="24" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«/math»'/>

Solution for the question - the graph between the displacement x and l for a particle moving in astraight line is shown in figure. during the interval oa,ab,bc

The graph between the displacement x and l for a particle movin-Turito

<img src="data:image/png;base64,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" class="Wirisformula" alt="tan space open parentheses pi over 4 plus x over 2 close parentheses minus tan space open parentheses pi over 4 minus x over 2 close parentheses equals 2" width="244" height="38" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»§#8722;«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mn»2«/mn»«/math»'/> then the general solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»'/> =

Solution for the question - tan((pi)/(4)+(x)/(2))-tan((pi)/(4)-(x)/(2))=2 then the general solutionof x = n pi,aa n in z '/> pi pi-(pi)/(4),aa pi in z '/> pi pi+(pi)/(4),aa pi in z'/>

Tan((pi)/(4)+(x)/(2))-tan((pi)/(4)-(x)/(2))=2 then the genera-Turito

Between time interval <img src="data:image/png;base64,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" class="Wirisformula" alt="20 blank s e c" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»20«/mn»«mi» «/mi»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«/math»'/> to <img src="data:image/png;base64,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" class="Wirisformula" alt="40 blank s e c" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»40«/mn»«mi» «/mi»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«/math»'/>, there is non-zero acceleration and retardation. Hence distance travelled during this interval <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals" width="17" height="9" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«/math»'/> Area between time interval <img src="data:image/png;base64,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" class="Wirisformula" alt="20 blank s e c" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»20«/mn»«mi» «/mi»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«/math»'/> to <img src="data:image/png;base64,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" class="Wirisformula" alt="40 blank s e c" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»40«/mn»«mi» «/mi»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals fraction numerator 1 over denominator 2 end fraction cross times 20 cross times 3 plus 20 cross times 1 equals 30 plus 20 equals 50 blank m" width="294" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mo»×«/mo»«mn»20«/mn»«mo»×«/mo»«mn»3«/mn»«mo»+«/mo»«mn»20«/mn»«mo»×«/mo»«mn»1«/mn»«mo»=«/mo»«mn»30«/mn»«mo»+«/mo»«mn»20«/mn»«mo»=«/mo»«mn»50«/mn»«mi» «/mi»«mi»m«/mi»«/math»'/>

Velocity-time <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAQCAYAAAAmlE46AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAKdJREFUeNpjYEAFWUDcwUAi0APi4wxkgKNAbECqJgOoRpJBFxDnkKNxBxDbookFAfFSLGr3ArEXjPMJiNnQFKgA8QU0MXsgPoks8AeHS74BMRMSHxTqLsRoPA6NJhDwAOKD6AqwORUEFgJxKJQNcrYluoLdQGyNRWMWNMQDoGqIjg5Q6K0D4iu4EgeuBMAFxD+AeBO+uEQOCGTwAYh1aJLIQSCD2GwFAPbYICV/qCeKAAAAU3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4oPC9tbz48bWk+djwvbWk+PC9tYXRoPsI9lsQAAAAASUVORK5CYII=" class="Wirisformula" alt="left parenthesis v" width="14" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»(«/mo»«mi»v«/mi»«/math»'/>-<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAQCAYAAAAiYZ4HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAJNJREFUeNpjYMAPOoA4i4FEcBSI9UjRYAzEh7FJqEBNwwYOQzWigCAgXopDQx7UP3BQD8T/kXA5mgZLIN6LbsoqIA7AYQMbEH9CF7wBxPJ4PP8LmcMExN8IhBaKBnMgPohHMYaTIoF4IR4NGJ6eAMQ5eDSA5LqQBaYA8Vw8GjAiTguIn0LjgI3YpEGVxAdydxqyAAAYBR5MRYUICQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+dDwvbWk+PG1vPik8L21vPjwvbWF0aD5PfcOEAAAAAElFTkSuQmCC" class="Wirisformula" alt="t right parenthesis" width="12" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«mo»)«/mo»«/math»'/> graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAY8AAAEDCAMAAAD6Nnh2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///ykpKc7Wzvfv7wAAADExMYyEjAgQCObv797e1sW9xRkhIYSEe0JCSs7Fzube5pScnDoQUsWc5nMQUnNjEHMQGVpjWhkQEEpSUrWttb29tXNrcxnvYxmtY4zvY4zeMYwxjIycMUre5lLOY6VjjAje5qWcY0qc5gic5lKMYxnOYxmMY2trY3t7c6WcnBAQUoRjlBlrUpSc74ScWu8QtRlCUpScxaWtpe9aOu8ZOu+cOu9aEO8ZEO+cEO9aY+8ZY++cY4yUlHMxUnNjMXMxGb3vY73eMb0xjL2cMVpSWu8Q5kI6QsWcnO/eOu9Cte+Ute/eEO9rte/eY+9ahO8ZhO+chAgACO+U5u9C5u9r5u+9rToQCO/ehEJjKYxr74wp74xrxYwpxaVrUlJrzlJrhFLvEKUpUlIpzlIphFKtEK3O5qVrGRlrzhlrhBnvEKUpGRkpzhkphBmtEJzOtYzOc4zvEIwQnIytEO/mtUJjCIxK74wI74xKxYwIxaVKUlJKzlJKhFLOEKUIUlIIzlIIhFKMEIzO5qVKGRlKzhlKhBnOEKUIGRkIzhkIhBmMEJzOlIzOUozOEIwQe4yMEGvvpSnvpWutpSmtpUrvpQjvpUqtpQitpWvOpSnOpWuMpSmMpUrOpQjOpUqMpQiMpb1r770p7xBrKe+9zr1rxb0pxRBCKb3Oc73vEL0QnL2tEO+9771K770I7xBrCL1Kxb0IxRBCCL3OUr3OEL0Qe72MEMVrUmvv5lJr71Lvc8VjnFJrpVLvMSnv5sXmtcUpUlIp71IppVKtMcWcc2ut5imt5lKtc63v5sVrGRlr7xlrpRnvMcUpGRkp7xkppRmtMZzvtcVKUmvO5lJK71LvUsVje1JKpVLOMSnO5sXmlMUIUlII71IIpVKMMcWcUmuM5imM5lKtUozv5sVKGRlK7xlKpRnOMcUIGRkI7xkIpRmMMZzvlHtSWkJrUs7m70IQKUI6EO//Ou//vcWUvYScexAIKc7F5oyEnM7vzikQKeb//wAAAGHQJ/0AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAazElEQVR4Xu2dTZLiupaAMUi2ZFmyR5YRW7CZakz0yOE5kxt39tbVu3gbeEvq6EFXVWRFH8kG/AeCxNzKxP6yCoRxGlLy0fnRkbRaWFj4KhAtmtLCF4AkPGmKC1+AOEMlacoLf5zNXiJPNy8W/ji0ROjIFwH5KhwkQoip5tXCH2ZdBh6WQfazeb3wZ/Fx7md5+dciIF8CmudClQlN88UH+QIQ/Uv8hvZY0WIxsb4ARNHVapuCPyjEYmJ9AeLfICOlkY3fm/rIwj8JSfIcRKLNxvRXC3+GhCG0bcoNm1o+Fv4AovrwZK/2ySIffwqa86KUPVdjkY8/hmb+Og16/dVqu8jHn0FVeE1K2WuPxr5a+Mcp2H5Fh/Kh0n1TehVChIt7MyDhOVnRjnyQDdnEukzgCX5OR4h1RS4lW7DvXkorcnq3PvFS6v0yPG89JnHPyl6gJRdQPemPiz6PfV7hikmGK3guocpIxDHHpTklgUM4hxLRHErcHNMllCqjbpT5TX6AdhD2mB9DKYfTcGGOFeYyO3PBAlceQijw6yZbOKElKna7kgVlFDaHqM7TvOSMw1Oem4okv0wpMsFFXeZ56UNpo+BQbgKORBWmZNRNWKR5WmxBBNb1Mfhl6sMvW+OA+uaKpgmIn2YSMSn7bujc+b0tOcbYg8op9e/moCV8sT6nGJUZwksAuQcxhJk0t3Ib9eL20AglPgp6bs+ChaQj/uBr/Q8fyVAh9Kt5OTMS2/lfRXDUk4ZX+x+0RDg5YFS8qwJRt2x5Ic+5CTSkwxOJX/baa7O3CvplKCzTrMwlP1kRb4bA6fX2oGXgN8WVykZvyf4vkxe3x0GyBGfw+Fot9acgifRrP2yMhGXn25/mH/dUAfRXL/XPC8RUViqGzjfKWyF4dt1SERlred/6aFwKFyAf/QjKlID64DRLKUP5HV/m+6HljUqOWPuPpviePvvF+lxhaIgS/qHqjRQIrVUziUUurXUakw0RYg1HqRAnva0wNn8zvCGM5ohTdoclS/blC+WD/GIy2ew1iS6Gxhuww1tT5zTDuI4/FYXyK4YjIkrGeFOhO2ZjHgn2mA1G/ZJ5/cZNklfqc5IjvF2RzWrLUNTcNt8dEpZIWm2oJcI2Ukq45EVS4I8sLw45sxMGiPrgMUhF5BWHojxAMZGl+a3bxC+VjxijOlnbRE3epD3AcpVBc+dX2BpQlCOsVqRAEmzauG4jWsqDObny4FSl4ZDyuHnjNkSnL5QPwVBal8AtfJMQFmgNbq2TMAeRMD3RKsSmNyb5MTdxblyZY0mQmifFq1OEKvT4ui7d4KX6gxxk8AtuFfhixu69bqh/M0rTHtQv6EHa9qh7IpAIc2trxuERFIm9z2kRSDPyYA5hECInr9QfcX40X6GEb6vZLcvwm5EGu03sRxQcPqupc2b0iRkQhxeJV8CLQjZDPj81lnakCPqrO4blXqo/QtAa8BUwtEcIXeybdFhQ2UFJkx3caVtsuqCYY3NPJ3YIbpNjaByFzfBfjSqPtiHg2PX2OPUdL9UfSiJzr/DM3EMI3SGt34Mceb5NQQcXA6pYsMooBp/ZIThuVHvZ+BrW89C2IX5rWXZGnkZ5qf7wUWC+dQXtAeXj6xr+H6ZAKLPurciMIlfSxBQJ+IbwFLNKrBSrbG9F8pwS4ltHZPPH/Q+aIxvAyYy2Aw+k0Wvfn0LafALbBnpFfBvFpfiHaSMlM5CR0xxZVWIgArMLlKnVMg5eqT8Uh34Wnv3aEEeXLvWbI5JT8Ef/gFs/PJg/LNZGPFbisCWJPAeuVLHLE3sf0jopxAF5oXxoWeeVxOYBhKWO9bwVYXWJqJ/ZsrFg3fbSSGM0Cj1OXhffBX/1cm2SoDeMuZNopBM64JHYENn1U9lHIb9e1h4xqI+WQ6reMuYu2HB8MB4bwlX8rpwncjBJby8BNEYdszL+OXxzjEZk+9uj7ww7UP3znrtx8zr5SJis5bawIk3y45sO2t7mkQWUNkY+XtQeZHda+AGbgA54OtA+9vW8ECZx2slJyF6nz82YYL3ug/HPAQIW7z0i+16Q6Fg9oBGI/6r2EN4p1m79c7gFoD2MYzQvQG2iByKpL/M/NpqhpnuqbH9lwnBMv03M/U6IjxCq7tcg8avsK1ogG/UEotpE3yQseJdB27sBIxMhO5x4HyAfr+mvKD+bt6T5NoIf7xixfC8KyYIP5t19z8f+i+QjrGPtHXLkzWxlp5DzA0t9VtyrOF8mHzoYhkdmN++AFFxRfCDRSJKbKPK88Pv9BeiPl7QHPXsfJ/8cSAJ5mJVCF0WyIl4E7WJjv21oJDFmsujFVl4lH4IH5/C6fxKUsDr28+vfGmImI8TQHqtY9f9uP9UkFqXs9WSgP17SHsbabVqeNP4g3BMpsimUc4GYjiH2drZsHlpQq0mTfkzvVf4gmN3nvPnGHwQ0Ct5vDMQBNfJxDSV7OVlx9BL7iuSInRv+0h5bhMxY4awgNv9nHLJDvSg8Oexe0aMLji6uxqU9hEl3b8pzgV4ZNicxpX5wuWtXG0IpFUWqaXzy2Cajk/6Wn28QmqN3nbh2lRiPy4fiDHey/mmEPY9JyTw8+WzLCLH9uT3o2YQgCbNZxnPimnyIQ+QXZVEnOxjI1i/8guO08O10hgkhJRrPjQzPQcbZEN/QHyste0ke5FC8IIRBT/MM+hCMsqn7xi8OvdUelPeiSsQvpreviGbH6OKIt7QT4ccHgs9vwU35AAPLeidnqG/ygifGTE9riWHU6qLgnZmNgVyRjzqpQLFeFhD4g9MbPGZWbUsKqss8rY3yjjMbA7kiHwXOQZ/zvilFohfIh5kW1ar0i/8BTZXNbdD2inzQAoxbj/fjjNBfTS8f+nhs23jt9liViE1tXH9trvkf4A+CR9i8OPMK+SC+7PSKnfaIkNzPSoHctK8G0GgXumeJPEYIfVLbiCraX0h/PDCa/A7ctK8GvEI+FOsurxS2e0SRvWXa6HUelI9f09tXCULXo+pmiYDpLYgvzDX9MU78f5PLBwEVceOaN1vrDXlQPop/Td17iK730WcrH8nX+/b8flA+itsr/H0CxYLuIMuhIw9rjGY1iP6ofEw+HuUf2b5jsuG2vbuiuZzVjqAP2Ve/46KYWp/niHUvecrfbUgkumfi77vwsP7oDqg/DeX9WHv1X02hxkxca4pz4FH9UUzcX2mM8q4DzrvyEUODzUiBPCofE7cHAfXRs2fT7hcyuSczUiAPykc0cTzRTIvqeR8d/9zOOzjOKMvkQfn418T2rnCvBKeujea+JeRHdwTwNnE0sX3VrOlzCxAhbz4KhDy0GS34H5PaV8QPBstiDLK73mqxOCePJLf9nlp/0DIYhAt1P0PYl3MbtL0buismlQ/lIbOoYwfezLM9AwrELvyzMIBEOzHleJQ+osFeUT3/3HSp6GNWMff7obtJ9Qfx0WBHvVXVlw8Tc59TCOsB/iea1B80M24Gd35VNYUzGg2laMEg8mhK+dhiuyZwl2wgH4IvCmQcuoumzN9NpLRrzXbo+ecANUs1NOWFNutp7asc2UUdXZD98Q0X75uCae3dq/MM+oh5xdzvZ72bUH8Qu/1K86LF8NA77XcwKdBfTag/DvK0bHkbPVQV8dyyfu4F9PmE8jESLAGyYddEfMlmukXkCZr4h19mX5AOk+pzM/I3oj4G/jkgcCcFfn5QuCOB/gImk+pzkyjaFNt08qkbCDTdvObl9EjSQyj2WPYaBPT5ZPqDgPcxNpd0rD1W4MjPaBB9SGg79qifSjClfNArSnronwMgrrNbvG+I6ueikd10IxFmqHascQfjHwaFj8sm9atEXnoJQsMw1FmeCDWy9fAnUPKByeV2586mPFtI0UqtpYXH2A9plvebZn2Gw0OZ60VQ76U4ZxT7cemuSKgT7fMsSnQ4hXyYrc4fGPs91JvnzBliN2rrQIrJBiLM9iujJtN2VA62YBzPa6ZtH5rX2+W1EelgScXPkjTbrwwYjJ9bRHYc1f6zIS7YMG+WTtcePrqy40gvf7eB+PMeAyG+HEljFvlU7WHUx/j9PuoPmtSH40u3wv/aEB+PdQ80jSZqD8FRNq4PrrSHWTF5Kt31/fADlGpg35WRn6k/jVK1wZLx6h31z+FWwHP2QAqzEhz7YHZvwgvTycf1IfH9+HFSzDlkQkMhVKiU6la/yO1mhc9zJdZuIOOVbiRq5mMgQ2g5UXusvYdHYGc/BjLCz/S/J+mv4Ga3u4Y+AuHIbt2+cGEq/yM2yqAp96GjXvtqtZnXvIO7mMr/uJFxuCmvpfb40m5RvXAB9Mc07SGvrzxd73c3gtljeOmwOohp/A+zO+3VWPt5f4M+4NLLK33ZXAH/Y4qgHgHv4+o+CVf8cyBaYu49fuaTjNeG/Hh9lbHr7WGMsqXDakP/9fTYoLGQtpftV4aM5Cc2gAKZ12JxTkQ5iYVzs+O54p8D6/Kyy9SCgWZT6HNSfE4xm90rH/Ui3xuRDefPPI6JtX+q21OBc/WAebEup9Dnmh1vjIUP50edMSlbiwJpIbIp9EdxvG7twrvXRQAUyDLvoM0k8mGmRd24y8fy2xvIgY2m/M6WSfSHqG7G2vH4+KCFLhPXOkwy/qG9m1r5arwEIEsIq0OY2R1ln4p60xuxdgMerAdwgZh5B1MvIP+NmUI+aIaqW4mi0a0t1RImp8uw//6AfDxdG2by8mcvsgnxcEGgGQPy8XR76EfmGQy4d8r6PJhAPgh4H09EzQskX7Dj3ndlAv1h1s+/6dNdGz+v8WWgFwVyorGvgE+bWNo1ceCyf+0YZv3kmSqQzXDlignkQ7umRfHLfncjmIlr8wyZ0IIPEsrD7Fl9bmLtt+sT32wPs6TcHNuD6BINwxrr6tl4omP7FeD6eK3FKV9vSewzJlubkjeA/mhKn0Uz6fA+husndjCrOjwVH/iWiMzTPhvU3H+qZ9vDl7K/yWSPG/F2g1Eg8xsDIWG48r2hfPCT6/DZWzRHzFGbw10oO5i1fp7wX74xI/IR46p4Doaq2+LhREnEm4t9luRbdngRa3fUJNRaR+hp5LM7/q9xc6XPcyOC/IXxvbZ80Mj7YPIYHGXw1A92qA/3gvIJQ7J1wU/83LSovyxFZ7IaoUqpBBdChPDvZ/ip/0DhmodTuAQo5mV9wU//fM+IpI8H+oOWT9v+vmsD7av57WfK73l/PwmJ2K6v9wR/1t4FreSIuNyOlxhujei+MSAfTekMtIerd3fhlI8b+SUNDg/+XSnYrl/54u+np7gWzNGi7tqeYXuIiHMwYzjvxqsmkA/tCpdHToPYfcbbsY6yrEzLLOuGeCfQH9S16JXDPwfErBf6abOu/PnF8r4w4dPxxIUp+Q9+uj2c7jdx9lePbAn33kwgH8o1ouU7Xc5kxgthdZmgPQpXvP0O/8N5xlwI8dNDD07/4/b4uWGm/uAIE8iH7zn0Q+as7ZnGS0aYQj7k0/HE4Y54c2UC+Ti4tq67nQ9n6O1YP2NC/LRpQ0PH/I3FP7+f5/NLFqZkAv2xMCET6A/iSgBe/PP7CfHT47XKkc+wSZwfcWVF2Bkyhf/hmt+UOf1B9xlzYRL/3NFh3TE+uPgfDVPIx/Pj54t/fuKLyMffTWH2/CP64/Z8A2Ce+VdjqOflwzl+HjpnE7jPmAvh8+ODCxMygXwsTEjoPT93b3Gup2MC+XCOnx+cIWT3GXNhAvmYwD9f7KsT6vnxjyn8j8UfbLgjnuhSD27/3FnbmcuD37i+xOa5JdW+DMo5tZVqR3UXrv7qefkgru+wIr19sb4LtCjLsrWGvXu8VpxnRF8hcuWX/O1sD9cZMXdJcZxfzqDiu1h8JMwx5phd1tB36w91ZRfUM4V3W39s3POjKscZgrkWhaXe5Qyqt8o1RvY1EKWE24hUl40xlVN/KOZoscIlH+7o7fgOtxcoc04Jxa0UFZJjf5ot9l/Mod6OXkt+bg/PpT+cGsYlH867391ionX3j7PG7TPojuHLxvtfFpIb8YDn7LyvmTveLm4tBW745TluRXd+Yuk4g3iuKBvhnRYjhZR899WXcRLQDuaZ8HMfpGTp+9HVHyA3Z7QOnX5OHLgsmvfHHuCH/e+vU3H8x2fYXKEuDx7gXxHwpjT2YP4Vkh+aoiHJJUKI+187bkx50/eU561/15wB3o0fhlov2j/s3/WTDMwF6ssMHxhmEmF4bJ/TfjTvBAGGF/XBIXD8KM0JtwhkU6jxAmiPgLmU459FVF59w5TyLP/Ush7/Z34SeTi/7vz7+dM+0Zyp+iIUDjRcSlRQzM3jNeAdUVWmZC42hqBbsAhv0z8jqRDyCvW1lfq6anYHSoP7V4UTLnvXd803cNu7fzvsK+K0d3tn/MxZVWy/dmtY/WF1s9Efd4cXROpQi4lz/RJntnThqG5auqyOuH0GCVOef4NFZEla3+ubkx65B+LydmOX0nSv9vLTeQmnf9c+g/pfvadqiI7WEVRe9T38189BQHs1xS+O8kyHRXjw3vMtvoVsGGKfVWnO8dN7QC5MhOYVfnrJ3YXJ2GzI9e0yFxYWFr4hQp/cDrpPkmToHyg4ejpMtlAeWPyDM0b8ZbpvRmLtp3QdT6rMMbiE/TUBJT34GqE5QRvjnZiPs6U3hGxxs/T+RhSMMcl7ObpEcMlYUJoa3MQHzCTzumsSk58VnCFL20w0GTkDECVCZn26zRo+xZPdfScSfGTSk9gsmEZUaa7WG9Mge87+YszMtyZ7+DiPvaelQnOGmm0BReklQhxkb1dTUeTbMMxtDdKIFaEIPdlZ+Y/CGSIs2OkMIULc34rzdyGZ3d/ZfEooEonbQy0Jw0rAr8Wb1UbhCsr5Me1sbeTD1c2Ks2RFfJbCqdU5bv1O0B0qU5Za2c8DswQmKYNuVRLbdQgv8H+v9EdlXvhB1q6LOi2FYjMCpj/sdqp+cB6WrNlzXkeaC7tFAnxK209NvHMcknB7msDtsTGiGDuJbcgqc8MkrOpK0FtA/ZxusV11gfA6IqzY6H7apdnorghs8B5ODYeWtB1pKerWNBdrn0GrUkdmtXHCf9hPEay9V+f+0h5h88YhaO0eQyJ2HjU41IEgUkr9ntY83JymBlRTEXD/DXQpVCiX/sbUgXlBspHAPNzRehWXdfiSNM8N0Mcc6qYKcZ3CJXB7W+JEmj7K5iUkzRYj+7YGERnfQ2e1hiOngegVPF8a7J1IavlQrLI9NsVj4+yhre0mWLxJ+533ZkXSoNysaNNiK+j1WmeEoIhJEYB8qKYdKG5nV2gcmJE+kIjNoWkPLVs7hVCvKs0JYGvEeTPAlg93nHkPavkgmtVKgXqe7VG65MYIE1XTi6dBZ2lM4mOOkbmfRdPprTotBoabMnsXghVw/hTcnGihSif7CLOIbnxZKxYlW92mkEG6P+xTloUnGQVxu73V27elkY/tX7WCjDt3boOWpvpokyQBqr8rH0mZlnynxW+aNRt+5e2tag8288s3ygek0H4KqTodmmXLoKpP8qE68sGk0e6b9HgQedMe/vFd26PWH3Dn2poS3nAbf13ZdAGQj3rQEUylgS5dc9D4px4NzrhIkADLSykNFoGg2qu1k8BDKYxz8FAu/VVLPkCnWcFMZBGmTSJTp8XfiUY+Thp27bU1rUVVzNbuedBx1LY5HBkFuajTi9pnqOwIff8PiST2VXXSH3gwNxQ0jA+3Re2daple2oOyuvWgPdaRrH3Nnfz1pu1Rywf0ILaGoCJ6f2cItlV9CCrM1AVUZr/JAMUkhTNsLcHtfzmDhEpv9SFD6XZ9sqq1HA7FgzFwOBnCxDfa5oSoahvDBycoqe3dc9/5dmhc2lXGisA0BOWsu+w+Eek5ZVAzc1eTottkIrJ1Hx2hJrW0933B+o0KlWkNo8j6kmvoz+qjBlKHs8BpV6tNdjQJvLpj5RHffiL0l3oV2oFPuFrbgXkXiNDbVGIbvlOcRVsNZmT376QcsYPSeqvIiuYy1Vvf2J0tFM611r6tQQptpXVkYyddQDuYig7hU7TOWTs+RcvSXsBOd9hj+Dq67Manwsx8txSDyogjCWcnI1ruDaA2hCiZ7bRDsPE/cGvGiEWY901GoLnx48ikDubd3ooklblKaXV9XIycYQCf0AqeKNkH87qfAhf4YGBQWcWguWQfVe30nVEZfIXKWhFgXcP3dKUmfU+IUErZ/+aV2WVqEEsnIQDHt6F5JzbFfkexMVdQzcKIoC22Yf8MA7UXMM9KNcUT9mucLmCvNmhPcfkt+IThd1hYWFhYWFhYWFhYWFhYWFhYWFhYWFj45hDlXmHHZN4u/CNslHMK/4oUzmnlCxMR5x/uTFrtDfMXFiZDtWbha9zKzLkG4a6tVheeoDieV5IjPrsnsTky2bl3QqhT3hYuEKq41LRR4pTXeVtmoZ/miFnIpy4SOFpr8r2X3Z3eSbVYZgY/QOlJxFgzgSn0sKlokXkM703V0x1mDNdJXNuMYWZzSUTTbPdAVJ6/abLbKyD7jPHCb1bVSZhZQUmUuIgKrlYk5Nz3fY6hEyN7XEVRZNc7PGda30OcVPibrBPzJUhaS0r62FhOCTKT3Xy1ilObUR2a/Nywzq6OzMmkaPJu70Njyf3RtKGFIaecf0PBzISNreS1vIQyU2JNNQ/0KgnqXHUDtEc743BDhMnrGiBCM2sT2CEUYH/xIu8hPs26MaR2ggAtmCyNRatMtqNJVwy2K/8YnUViU3TnM6mMeR7z/u11Hk8rJ0IJATK/W+fMGYGrc9VucmYrnepcYmgRLbGf7A97vSWrqCUSIB8dg5fqw+GwT34l5qn9CD/JIfGzACFWvukUwYlRLLuogl+s6ZTogaPit5KXLdZ8dGkCaI9u3vxtzKIA6XCRhoURoGpbk8cPnrGv7DJtKijJzybxnEBd6roLo/bhNO/vHojmLE8WbX4nhSwvSznZFQFJkgs7S8M0VgbeXHwoKPgk0EdtCDett34gYLJReXroLM+wcJ3NaouD6jyjoJ50u+UYYzvNADQ7rjBOTTI6KG0oZkYwNOZN/robMbKczMJ1fm+L9LI+d8GMY7Hd5Xlhj5F9nuZ53TmJIm9cbf/j/unipJ4IsvApDvieicflu073+3LQ9I6qVhgvpus/w2bfXz1jCCmc2xAtTEUzPfYm6l3Xc1tYWFhYWFhYWLjGavX/l9fj9X3kSngAAAAASUVORK5CYII=" alt="" />

Solution for the question - velocity-time - t) graph for a moving object is shown in the figure. totaldisplacement of the object during the same interval when t

Velocity-time - t) graph for a moving object is shown in the fi-Turito

Given <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPAAAAASCAYAAABl2VMbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABARJREFUeNrtW11kHUEUHldEVZSIiIgKERF5qFAVEZGXqKqKKlFXRFWIiqg+lKg+RFWJ6ENVXyoi8lDliqiIKFFRV0SpiD5UhTz0oa9RFVfEJT2n/Vanm9nZmZvdzd575+N72J87c/abOTPnnN0rhD2OwSPiJrFdODg4lB0yxAnitpPCwaF8cRhwnp17xsnj4PAHM/CJVGGA+FFx/hJxy42Zg8N/2IRvxL6jco77g/iJuEZsVNzXDIPaAgztjsieAsL106CPuET8hdx9hzhi8fsHKZ0QZ6UNz5Ei8Ttxj7iC+VDNmgj4wizuL0Cfp8R6XL9MzMf58O3oXMYzGCWjg7gaMGjdcOCo7PkSQTscJWSJdTjugo1Zg9/exiDWpMx5z0ob1RzhSbpQxZowHsIn+qUF5CIWf1mbPBw5FtwkvlFM4AXfzsu78oWANtjZJ8sgnGk1GOx63LMObWxwXMahnk4b1Ry5pThXTZpMEecM27kvYqwNTWMlkfHEF0Ky83Zq2niPVcgEjxFmFDG4Uwp7phT2NWFR4TBlH6KUmi7o8Bqr7h3iq4QdOK3aTCtsWSReq1JNOpBGmEZovcQPcTlwjjgkHfMu+w0CyIPgpwzOG2oNB2Mu5N6cb+fLQXwejAGEKi0Q9rzls/aGhPq9CIkEnn8vQQdOszZevxmkS/MWNYJK1OS5ZY2kFj4SpE8YtdhFiFyDFZXf8Q5bPmjR8D4WY9DAnhbf8bjiPl5VGyxsPCf+Fuj6Aq7z839GDuNhOyTyiHKyplmbXWkyHRjuvJWsyVdh/zHTURy7b0YKTTz2l9COqQMPwymGNPYUfMcHAc5WsLCP89p3xKuWqQQX8yZCJuepVs8y0EbupxYOtYUwsho1yRikYYk5cA9xwxcyzJbQjmkI7RXE8ui3LsQe/7Fs54Zhf20YDN2K2SnUX5dxCLaSYA6cRm16FPnbiMU8qTRNdOFw4iF0Vpx8FbCO6psN1jXhV1B4wtW90RB7VPbpzqscc84g98lrxLN5nRRFxTVt2mSR88oYFeYV2ErU5MAyn46tiPVSkS9wZ4uW7ZTyGmlenHxRzvaMaY7DzstoQkEjzPn4+V9orr8lXk9wsqZJG6+9uwr7slWsybwi3dJhssTINhTLAZOTV4sui3ZsP+S4gkJAQ4g9QfYtGzjVqkEBqhkre53mnrEQB496sqZFG7k9r2jViLx0xyJlqkRNWlEUeyT+fXHFUcINOPegIsKL5UOOfXSs2vLXLNviwobum8+fGMwi8pFOA3uC7As6b5pbeMhBdB24wrkr4kUatZHb864dIiJpEfEjzZoI5MiLyG2PYe+SYqGI/VPKqOD+zODgcBKJ/JkhKtwT7u+EDg5ybWg86kZ/Ay8rnoGe+ArbAAABgnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT5SPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4oPC9tbz48bWk+JiN4QTA7PC9taT48bWk+czwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48bWk+JiN4QTA7PC9taT48bW4+MjwvbW4+PG1pPkE8L21pPjxtbz4rPC9tbz48bWk+JiN4QTA7PC9taT48bWk+czwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48bWk+JiN4QTA7PC9taT48bW4+MjwvbW4+PG1pPkI8L21pPjxtbz4rPC9tbz48bWk+JiN4QTA7PC9taT48bWk+czwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48bWk+JiN4QTA7PC9taT48bW4+MjwvbW4+PG1pPkM8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PC9tYXRoPgas0UQAAAAASUVORK5CYII=" class="Wirisformula" alt="R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals" width="240" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»(«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»A«/mi»«mo»+«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»B«/mi»«mo»+«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»C«/mi»«mo»)«/mo»«mo»=«/mo»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAARCAYAAAA/mJfHAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAANJJREFUeNpjYCAd/IfiX0B8FIhVGKgAmIA4C4jPMVAR/KCWQfZAfJCQTaAweQrEJ4F4GxCLYlEnCQ0zJVwGgQLzAppYKxB3oYmpAfEWqIE4QQAQL0UTCwfi+WguArmWj1AY1ANxCZpYIxAXIPFBBmkQE6CrgNgPiQ+y/QYQi2NJZ8gYK7gF9QYLEHtA01AouYnwD5qNtuSmGXMg3o/Et8QSi0SDSLRYA4HdQCxPjmGTgDgNTQzkuoXkGLYOiL2wiO8FYi1SDXsHxBxYxC2haYu+AACOpCuveQ4vgAAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bWk+UjwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+AfJ5XgAAAABJRU5ErkJggg==" class="Wirisformula" alt="R to the power of 2 end exponent" width="19" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/>( <img src="data:image/png;base64,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" class="Wirisformula" alt="4 blank s i n blank" width="42" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mn»4«/mn»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«/math»'/>AsinBsin <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==" class="Wirisformula" alt="C" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«/math»'/>) <img src="data:image/png;base64,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" class="Wirisformula" alt="equals 4 a to the power of 2 end exponent cross times fraction numerator a over denominator 2 a end fraction cross times fraction numerator b over denominator 2 a end fraction cross times fraction numerator c over denominator 2 a end fraction equals fraction numerator a b c over denominator 2 R end fraction equals 2 capital delta." width="277" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»4«/mn»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»×«/mo»«mfrac»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«mo»×«/mo»«mfrac»«mrow»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«mo»×«/mo»«mfrac»«mrow»«mi»c«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»a«/mi»«mi»b«/mi»«mi»c«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»R«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mn»2«/mn»«mi»Δ«/mi»«mo».«/mo»«/math»'/>

In <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAPCAYAAACiLkz/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAeBJREFUeNrVlUFERFEUhp+MkbRJkjFGJGOkRbRIi7SZRZIkkiRJtGiVDMlIi7RJi6RNkjGLDBlJ2qVFWrRJkrSIFq3ajWRkJKb/5n8cx32vmbykn493zzvz5p5zzz3HcbxVA86cyjX/zfsS+ABP4BEcg4jFrxWsgxvwRv9V0OBUqRXwDror8B2jb8jjfRs3JGU2lVG2FDgBvUygUYzJyVSz+Q5wySBWv/E1mbkFp2DYw8fY95VtRNkWwa4TgEzkVyAOurg5P+2AcTAFtn1Oc1HZsqCfz3GWVSiIAJbBklg/swRs6uGRGzVzEzYd8BRMcjrBnrozGxXcoYpL50rZzLEuWHxD9I0J2zVIWHwfQJkUReZd3fskqerSaVf2IXDuURYpZVsDc5bvFvkcBkner7h4XwqqdNIemTZ/0ChsCWZbq4/tUarb0o4n2CrdoF5/o3SkjnhJXV2IktDodjrOmpeaVB3HnFBd0KUjNQvy4nnTxzcHBsR6C0wrnz0GJtepnwaQZvn4KcLMxthW6318Z1SAh+LSNoFRDrWw8GkBBXY/d+LWgkEGl1QJKsuZ8+JTDpo8P+qnKLuOq4L4fYkbiHpM6yzvQ5n7yqvTtAbwH5WzBPZvZAbhXVBT+y8U5dT/0iczWXWDkSftqwAAAHd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4Mzk0OzwvbWk+PG1pPkE8L21pPjxtaT5CPC9taT48bWk+QzwvbWk+PG1vPiw8L21vPjwvbWF0aD5tjQaMAAAAAElFTkSuQmCC" class="Wirisformula" alt="capital delta A B C comma" width="48" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals" width="240" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»(«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»A«/mi»«mo»+«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»B«/mi»«mo»+«/mo»«mi» «/mi»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mi» «/mi»«mn»2«/mn»«mi»C«/mi»«mo»)«/mo»«mo»=«/mo»«/math»'/>

Solution for the question - in aabc, r^(2)(sin 2a+sin 2b+sin 2c)= 4a '/>   2a '/>   3a '/>   1 delta '/>

In aabc, r^(2)(sin 2a+sin 2b+sin 2c)= -Turito

<img src="data:image/png;base64,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" class="Wirisformula" alt="3 Sin space x plus 4 Cos space x minus 6 equals 0" width="174" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8722;«/mo»«mn»6«/mn»«mo»=«/mo»«mn»0«/mn»«/math»'/> then the general solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAKCAYAAABmBXS+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHJJREFUeNpjYGBgmA3E/6E0MtiALM4GxBegApFQBXlQ/hUg5oDpUgHiT0D8BYhDgfgHlK2GZjrYlP9IOJYBBzgJVXAOl4JYNJMi0RWoQd0Acks4lP4EdSsYcEB9AdKdARUrh/IvwXwHC6dVONw3m4EYAAAdYSUV6lE6SQAAAFx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9ImJvbGQiPng8L21pPjwvbWF0aD7tmXbdAAAAAElFTkSuQmCC" class="Wirisformula" alt="bold x" width="9" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨»x«/mi»«/math»'/> =

Solution for the question - 3sin x+4cos x-6=0 then the general solution of= empty setpi pi+(-1)^(n)(pi)/(3),aa n in z '/> pi pi+(-1)n(pi)/(4),aa n in z '/>

3sin x+4cos x-6=0 then the general solution of= -Turito

Solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="Cot squared space theta plus open parentheses square root of 3 plus fraction numerator 1 over denominator square root of 3 end fraction close parentheses Cot space theta plus 1 equals 0" width="254" height="44" style="vertical-align:-19px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»Cot«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mfenced separators=¨|¨»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»+«/mo»«mfrac»«mn»1«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mfrac»«/mrow»«/mfenced»«mi»Cot«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mn»1«/mn»«mo»=«/mo»«mn»0«/mn»«/math»'/> is

Solution for the question - solution of cot^(2)theta+(sqrt3+(1)/(sqrt3))cot theta+1=0 is pi pi+(pi)/(4),aa pi in z '/> pi pi+(pi)/(12),aa n in z '/> n pi+(pi)/(6),npi+(pi)/(3),aa n in z '/>

Solution of cot^(2)theta+(sqrt3+(1)/(sqrt3))cot theta+1=0 i-Turito

The general solution of  <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator tan space 5 x minus tan space 4 x over denominator 1 plus tan space 5 x tan space 4 x end fraction equals 1" width="162" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»tan«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mi»x«/mi»«mi»tan«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/> is

Solution for the question - the general solution of (tan 5x-tan 4x)/(1+tan 5x an 4x)=1 is pi pi+(pi)/(6),aa pi in z '/> phi '/> pi pi+-(pi)/(4),aa pi in z '/> pipi+(pi)/(4);aa pi in z '/>

The general solution of (tan 5x-tan 4x)/(1+tan 5x an 4x)=1 -Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARUAAAAPCAYAAADK1FurAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA/BJREFUeNrtWl9kHEEcHnEiqi9RFXWqVERE1L1URR6qVFVF1FEVFVVHH6oqqlSe+lB5qaqqvkRF5SFCVVRFlKqoE32JioiIUFVRlZeqOHFOuf5+d99dp5O93Zm9293Z6358ZCZ7u/vN78/8ZmaFqKKDOEXcJZaIeeKIOIiyCBYTAd47So1F4m/iN+IX4lviMY3fnSA+Jm7inbeJD4lHRHSYCOEZtuj2a7cwY8ZaW7IB7xJTYJa4HPIAXYUDpdpMYy9xTenjAHnp8btR4irxIhKigEPniO8icsKgbWSTblO7/YxZUgncloWIBXYT14nviZfbTCPrmVP6sg59MgYwM3Zb5IRh2Mgm3aZ2K8coqYRhy0p5N+yjlKu1r8AZuFz8SDxu+Pxp4hjxOvF5m2l8QLyv9M1iJnYbj1sG2kakpcImZnsVJ1GZ7UNT2UIb2aTbxG5lhU7+c4n4ycN/eHx3cA1XRF0xjrdKaVnAIHYaBhwLfIR1MOMGhOpiiLiIv3swWF5B70WbNL7CbMClfIY4o7GW5QSY1rz/GYzZINqDaA8p1602CDqbbGSTblO7uVUq7HtLxH4X/2E9W0gQ/MybxCcxjrd61ueX+068bRBw55S+DswcOkjB6HKm/SwNfqsRhcZtafALHhVKDSUDTa/FwQ1nbr9R+vZ9LivCtJFNuk3t5pZU5jT8ZwHVg4wfMY+3f0qwXyjVjmouDfyuI7nEvKf0TRmWwDZr7JD2crg6Oo9n9rUwuPYcKq9O9Kt7BCsOjmuTjWzR7cdubn7SpXF9AZWDqrEd4q0+qJMOWb+VAdePLKnirKge3QVSjoWskUvaD0rfNZSvbtg0WCeXDQL0MPEF7t9noY1s0e3HbuUm+3XGKc7xVg+6YoABl3d5yaCPLcPSOIa1uIxxOLgb+Pj7TotnbBmTDRwsahvZotuP3ZpNKnwkfaiJJVYc4q2yDt0JKOB4E+qpy//nRXW3PM4aGc+wkSZjRqMU59n6q9D70Ir3FkYdSv4Fj2RastBGNuj2a7eS+PtdjR//4dOeXEBJJZJ4y2MQ05JxF/EyrQ44dph1lKSNkPMYBNs1yptvtQ0+3rvhnfs1ZYadx73U7wWyCLBx6foetPPSdadFdQd/AO1TaA97jO+yhTaKWreJ3VSsNUg6uv7Ti/e/gDaf7szGON4qx0wLWArUPmHPaq4DTUXyUd2Ix/tw4G/HWKNc0tZKzCISSNphlnBKKowMZuQ9XMP3m3MIHB7PLejaaHCv2nvwZ+dLHtVAVDaKWreJ3VTwqcxuk/7DiXIF77rhUInFKd4SRIywlnsJEiT4D5DBrJRKhiJBggStQFoc/D4hQYLY4g+UnARqFk3CCgAAASR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+U2luPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QTwvbWk+PG1vPj08L21vPjxtaT5TaW48L21pPjxtbz4mI3hBMDs8L21vPjxtaT5CPC9taT48bW8+LDwvbW8+PG1pPkNvczwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkE8L21pPjxtbz49PC9tbz48bWk+Q29zPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QjwvbWk+PG10ZXh0PiYjeEEwO3RoZW4mI3hBMDs8L210ZXh0PjxtaT5BPC9taT48bW8+PTwvbW8+PC9tYXRoPuEcbgIAAAAASUVORK5CYII=" class="Wirisformula" alt="Sin space A equals Sin space B comma Cos space A equals Cos space B text  then  end text A equals" width="277" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»B«/mi»«mo»,«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»B«/mi»«mtext»§#160;then§#160;«/mtext»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - if sin a=sin b,cos a=cos b then a= 2pi pi+-8,aa pi in z '/> 2pi pi-8,aa pi in z '/> 2pi pi+8,grad pi in z '/>pi pi+8,v pi in z '/>

If sin a=sin b,cos a=cos b then a= -Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma" width="48" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="capital sigma a to the power of 3 end exponent blank c o s blank" width="63" height="16" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Σ«/mi»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msup»«mi» «/mi»«mi»c«/mi»«mi»o«/mi»«mi»s«/mi»«mi» «/mi»«/math»'/>(B-C) <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals" width="17" height="9" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«/math»'/>

Solution for the question - in aabc, cos^(3)cos (b-c) = '/>   3abc '/>   2abc '/>  abc

In aabc, cos^(3)cos (b-c) = -Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAAANCAYAAACJvBGjAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAkdJREFUeNrtV7FKA0EQDUFCkCBYiIWIICIi4UgjIaQSJIVICIKFiIXY+wciYucfiIhVECSIhYWNRQoRGxEJIQgpUohIwCJVOAJxRl7gXPYul7u9vRB88DA7t+ft252ZnYlEwkeWeEP8IJaJ6cjoQYdG/kaJ2CKaxFfiTpCivgecn8YmRDGeItaHYF0qoUsjO9E2MYHxMvERtkDQHXA+e9+MYLsnGiGvSyV0aZRhjvhmlwbYO9rEBnFXeL5BrCJF8N+8ZEOt7Ic14qXEfkVcV3zQTutiHc/Q9Y59kDnKFiKyjX2aHSKNTmiLhhSxSSwg3SwSi0IqYqFJjJMYZ3xE0DlxU2LnlJfTGNlFpDzGHrEieZcP+hSR0ptXDkhj1wXdIoNU/gd8sR84vFRCZIuRfuvjsKsOYqZDSuNRRLj47qqLeWFrFBFHxhIz1W8FN+HwIj+PCbYY7F43tTWA3a/Xd304htf/6VWjCkwiEHNeFm733PS4qezVDxL7CrKIzsLxEHd1x8ZhvB62V41+0/g8DnrBbkJTc2T32hERR7gPdR32Ge7jeACRrVsjYwl1wni/QqLfnS1W3wWJGNPSTzohgZZETD0vEqdSAbt1tQJM47o1cia5Jo5FXIR+A5VjFH3hhZB66paq1cA4K+kp3TbxFYuDsUc+SYpAlb2ubF014j5+s+YT4qfQF/upA3RqvMM3XCGF6q2DzclLqu8aoqSCyBbBVeuXy40w8B0TjX8+wILFbl0GIs2Edk69x5ir4rB1alTRqv1jVPADSgHbdAEI/nIAAAC6dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmNvdDwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPiYjeDNCODs8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPnRhbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPiYjeDNCODs8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PC9tYXRoPqy/uAoAAAAASUVORK5CYII=" class="Wirisformula" alt="cot space theta minus tan space theta equals 2" width="123" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cot«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mn»2«/mn»«/math»'/> then principal value of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/>

Solution for the question - if cot theta-tan theta=2 then principal value of theta (3pi)/(4) '/> (pi )/(b) '/> (pi)/(2) '/> (pi)/(4) '/>

If cot theta-tan theta=2 then principal value of theta -Turito

If <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt><mi>cos</mi><mo>&#160;</mo><mi>&#952;</mi><mo>&#8722;</mo><mi>sin</mi><mo>&#160;</mo><mi>&#952;</mi><mo>=</mo><mn>1</mn></math> then <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#952;</mi><mo>=</mo></math>

Solution for the question - if sqrt3cos theta-sin theta=1 then theta= 0(pi)/(6) '/> (pi)/(2) '/> il '/>

If sqrt3cos theta-sin theta=1 then theta= -Turito

If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIJJREFUeNpjYMAOKhmIBAZA/B+INYhRvBiI50IxXiALxDeg7GtQPk7QA8RZUDaI7sKlkAeI7wIxG5TPAsT3oeJYQ6AWTQzEL0dXyAI1VRBNHMS/BcRMyIIZ0ODChZORFV8BYiUcfpGHyoOBFxCvIRCky6HqGA4CsSkBxcZAfJiBFAAANkgap6lV0MgAAABedEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPkE8L21pPjwvbWF0aD7LQvrtAAAAAElFTkSuQmCC" class="Wirisformula" alt="straight A" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»A«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCXRFakA8QU0sWYgno+uMACIl6KJBWERY6gH4nI0sYVA7IGucBXUVCYgNgDiuUBcgMUfDLeA+D8Uf8FmEgPUlC9QNhsQuwDxcSBWQ1doDsR70cSigbgLXWEk1E3IIBaIZ6MrnATEiWhic6EGoIB1SI4XBeJQaOCzoSt8h+RjUDQuB2JpBlIBAK5MH2X+n9d5AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48L21hdGg+/ChvLAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«/math»'/> are acute angles such that  <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin space A equals Sin squared space B" width="103" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«msup»«mi»Sin«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»B«/mi»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="2 Cos squared space A equals 3 Cos squared space B" width="141" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«msup»«mi»Cos«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»A«/mi»«mo»=«/mo»«mn»3«/mn»«msup»«mi»Cos«/mi»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mi»B«/mi»«/math»'/> then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC" class="Wirisformula" alt="A equals" width="29" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«/math»'/>

Solution for the question - if a and8 are acute angles such that  sin a=sin^(2)b and2cos^(2)a=3cos^(2)b then a= (pi)/(2) '/> (3i)/(3) '/> (pi)/(6) '/> (pi)/(4) '/>

If a and8 are acute angles such that  sin a=sin^(2)b -Turito

Three persons <img src="data:image/png;base64,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" class="Wirisformula" alt="P comma Q" width="28" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»P«/mi»«mo»,«/mo»«mi»Q«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4PxA/BeKTQLwNiEWxqGNQAeILaGKtQNyFTXEAEC9FEwsH4vnYFNcDcQmaWCMQF2BTvAqI/ZD4fEB8A4jFsSm+BcSSQMwCxB5AfA6IQ7EpZALiP9CQgGFbBhzAHIj3I/EtcYUCCERi8fVuIJbHpngSEKehiYFMX4hN8Tog9sIivheItdAF3wExBxbFltAoJw0AAKDiG/NA/rdGAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5SPC9taT48L21hdGg+SC/J9gAAAABJRU5ErkJggg==" class="Wirisformula" alt="R" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»R«/mi»«/math»'/> of same mass travel with same speed <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAG1JREFUeNpjYECAeiAuZ8AEWMVXAXEAFsVYxW8BsTQWxRjiTED8DYtCrOLmQLwfi2Ks4pFAPB+L4nhs4hOAOA9NzBSInwNxMrbgWQh1oyiUPwWI1wGxF7piQSDeAcS/gPggEPtAxd8BMQcDOQAALoQVIlpjITsAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnU8L21pPjwvbWF0aD6GIoRbAAAAAElFTkSuQmCC" class="Wirisformula" alt="u" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»u«/mi»«/math»'/> such that each one faces the other always. After how much time will they meet each other? <img src="data:image/png;base64,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" alt="" />

Solution for the question - three persons p,q and r of same mass travel with same speed u such thateach one faces the other always. after how much time will the