Maths-
General
Easy
Question
Two line segments
and
intersect at E such that
If AE = 4cm, BE = 3cm, CE=6cm and DE = x cm then x = ?
![](data:image/png;base64,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)
- 4 5
- 4
- 2
- None of these
Hint:
Hence x=2
The correct answer is: 4 5
From the figure, we should find the value of x
Since ![triangle A C E tilde operator triangle B D E times](data:image/png;base64,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)
So AE/CE=DE/BE
4/6=X/3
x=2
Related Questions to study
maths-
In the figure, AB = BC = CD = DE = EF and AF = AE Then
= ?
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)
In the figure, AB = BC = CD = DE = EF and AF = AE Then
= ?
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EvDxPLWbt3B+9uLmaRXote1qBBRVXDjNWrPJga4E48RCSSIPLzs2DzqK+vj9OnT3P06FFaW1uxWCwUFxej0Wjw+XyMjY2JiWlhXoggSroYJAbxNFzi4omr3OotRbtxI8veWsvakl/ekuGWVmIMDxMec+FXQBud/xbNzMxw+/ZtTp8+zeXLlwkGg6xevZq3334bVVU5fvw4J0+eRFVV9u3bR2Vl5fw3QnijiCBKNjWEOnqXxlt3uHB/mnB5Ne9sX8+Kwl+/qkfjWETRhs2sHrQxrOrJnMcbdlRVZWJigvr6eg4fPsx3332HRqNh27ZtfPTRR6xatYqGhgaOHTvGzZs3GRsbQ6PRoNPpKCwsRK+fjzs9hDeRCKJki/iJdj2gs8lD84QNS+4iyirtuJ5UMVXvQptnptwmkxs1kGZ+wuc9h97eXk6cOMHJkyfp6uqioKCArVu3smPHDqqqqtDpdLjdbnJycrBYLIyPj3Ps2DECgQAHDhygpqZm/hojvFFEECVbJEiwp5fhwSmCchFuVwYuBzx5CtgAkgGLDSzz1IRAIEBTUxMXLlzg7Nmz+Hw+Kioq+OCDD9i5cydut/uH724wUF5eTlVVFaFQiJGRES5evIgkScRiMaqqqjCb5zEdhTeCCKIkU2NRQsFJJqfiKJIBg0mPyfR8hemfx+TkJFevXuXw4cPcuHEDk8nEnj17ePfdd6muriYrK+snn28ymSgtLaWjowOPx4PL5cJgMHDt2jVGR0f585//zIYNG8SeIuGZiCBKNnX2j/r9DRrM30Xyv6O5uZlLly5x5swZOjo6cLlcbN++nT179lBdXf2rf8dkMlFZWcm9e/dobm6moqKCmpoarl+/TkNDA4lEAr/fz6ZNm8Qua+GpiSBKMslgwJqRjs2mQx4OMRUIEwpB4mkqZ6gqID1zcE1PT9Pe3s7Ro0c5deoUPp+PVatWcfDgQTZv3vybJ+b1ej2LFi3Cbrfj9/uRJIn169dTUlLCP//5T+rr65mamkKSJDZs2EBGRsazNU54I4kgSrY0K7aifNy5RmwtPgLeUbwDELFDxhNHNyqJRJzYtIJWp0Wrf/qBnN/v59KlSxw7dow7d+5gNBrZuXMndXV1rF279ndrB0mShM1mw+12YzKZCAQCxONxVq5cSTQaxWAwcPfuXf7nf/6HsbEx3n//fVEKRPhd8n//93//d7Ib8UbTglYXI+DtYqDTQ3/YimovpSg/kwKr9MvbMRIhZiYG8Y2H8UcNaPVajLrfn4+ZmZmhu7ubs2fP8uWXX3L37l3sdjv79u3jk08+oba2FpPp1zYM/Dqfz0dnZyfT09M4nU5KSkqorKwkOzub8fFxHj16RH9/PxqNBrvdjs1mQ3req2GF154IoqTTgdGOMT5GfLSL9q5R+iZN2HJzKSi2k/mTjFGJjvYw0NJK73icybRsrFY9Vt3vP+ANDQ385z//4fPPP6e/v5+amhoOHTrEe++991wHVoPBIIODg4yMjCDLMsXFxbjdbhwOB1lZWUiSRGNjI83NzWg0GtxuN3a7/dl+NMIbQwRR0mlAY8WSZsCWphIN+QmMDhMIjDE6MsxQn4fevn76+rx4B/rp947gC6okLE7s2W4yLTLm38iQwcFBLl68yOeff87ly5eJxWJs3LiRP/7xj+zatQuXy/VcK1yKohAIBGhpaWFsbIyKioq521rz8/NxuVxMTU3R1dVFV1cX4XCY9PR0MjMzkeVXtSYoLBQiiFKEZHaSnreIPIeR9LiPsZ42Wpvb6OgdwDMwxKB3kMGBMYJYMS5aRvHiRZRk6kmTf/1OMUVRGBwc5MyZM3z66afcuHEDt9vNhx9+yCeffEJ1dfUL7ffR6/VEo1Fu3bpFT08Py5cv/8lKW0ZGBiUlJciyTFNTE83NzcRiMTIyMp47/ITXl5isThUaA9r0CspqDaTZc3A199HrV0iYbJgtaZj1eox6M1Z3Pu6iPPKcOtKeMCKLx+PcuXOHkydPcuHCBQKBAKtWrWL37t1s2bJlXq54NhqNFBcXk5GRQUNDA16vl0AgMLdkr9VqKSkpYc+ePUiSxKlTpzh79ix+v58DBw7w1ltvYTAYXrgdwutBBFGqsRSR+9YicmoUFEVFlaQfrc5LSBoJ6Sf/7QeqqjI6Osq9e/c4ceIEFy9eRFEU3nnnHQ4cOEBtbS1G4/zVDHE4HOTl5WGxWBgaGqK3t5fKysqflAYpLS3lk08+wWKxcOTIEa5du0YikSAej7N69WpsNtu8tUdYuEQQpSQJSSMjP+PoxePxcPr0ab766it6e3spKChg+/btbN26lcrKynkNIXg8PCssLCQ/P5+JiQna29spLCz8xaS0w+Hgvffew2KxcPjwYa5fv04wGCQYDPLuu+8+02qd8HoSQfQamJycpKWlhVOnTnHx4kW8Xi+VlZXs27ePXbt2vdSaQUVFRZSUlNDd3U1LSwvr16//1dWx3Nxc9u7di0aj4ciRIzQ1NRGLxYjH42zYsEHUNXrDicnqBS4cDnP9+nU+/fRTTp48STweZ8eOHfz1r39l8+bNvzgrNp8kSSIej+Pz+WhoaEBRFNauXfvEDYw6nY7c3FyysrKYmJjg0aNHeDyeud3a891jExYO0SNawNrb2/n22285e/Ysvb295Ofns3XrVrZv387q1atfSRtycnIoLS0lGo3S3d3NyMgIS5YseeLn2+12Nm/ejCzL6HQ66uvr+fe//83U1BS7du2iqKjolbRbSC0iiBagqakp2tvbOXfuHMeOHaOlpYXc3FzeeecdDh06RGFh4Stri8ViIT8/H5vNxsjICP39/UQikd+c9zEajWzZsgWr1YrFYuHy5cscPnyYeDzOH/7wB3Jzc8VeozeMCKIFJhgMcvnyZb766isaGxsxm80sW7aMyclJfD4fwWDwlbfJ4XBQWFhIKBTC4/Hg9XopKSn5zb1CsixTXV2NLMsYjUaufH9ttd/v56OPPqK8vPwVvgIh2cQc0QIRj8fp6uri5MmTHDlyhDt37pCVlcW+ffuoqqqiu7ubpqYmpqam0Ov1ZGRkvLJ9OvF4nP7+fkZHR1EUhaysLIqKin63V6PVasnNzSU7OxtVVWlvb6e9vZ3p6WlsNpvYhf0GEUG0QDQ1Nc2dFfN4PKxcuZK//e1v7Ny5E4vFQnNzM3fu3KGnp4epqSnS09PJysp6JWE0e9yjr6+PwcFBsrKyWLFixVNfNWS328nOzsZkMuHxeLh37x6BQICcnByysrLELuw3gAiiFDc6Osr58+f597//zfnz54nFYtTW1vLhhx+ya9cuMjIykCSJvr4++vr68Pl8DAwM4Pf7URSF9PT0l16gTJIkNBoNnZ2d1NfXY7fb2bhx41Ovgmk0GjIzM8nOzkaWZfr7+2ltbWV0dBSj0Uh2dra4P+01J4IoRc0Ody5evDh3ViwjI4MPPviAjz/+mDVr1sw96PF4nHA4TDAYJBQKEY1GCYfDDA0NzQ2V0tLSXlrPQpZlzGYz7e3tXL16FYvFwoYNG7Db7c9U+sNqtZKfn09mZiYej4f79+8TCASw2+1kZmaKIyGvMRFEKUhRFO7cucNnn33Gl19+idfrpaqqiv379/Pee+9RWVmJVvvDOoMsy2g0Gpqamujq6qKqqopVq1bh9Xq5f/8+fr+f9PR0cnJyXlqbdTodXq+X27dvI8syS5cuxe12P9MVQ5IkYbFYcLvdWCwWgsEgDx48oLe3F6PRSE5Ojthr9JoSQZRifD4fV69e5ciRI5w7d45wOMzbb7/NX/7yF3bt2vWrYSLLMnq9nhs3bvDw4UM2b97Mvn370Gg0tLW10dnZSSgUwmKxYLPZXlrPYnx8fG6y2el0kpeX91w1iMxmM8XFxTgcDgYGBmhqamJ0dBRZlnE4HFgsFlFk7TUjgiiFDA8Pc+zYMf75z39y+/Zt3G43Bw4c4ODBg1RXV2OxPPkCIb1eT1NTEy0tLbjdbtauXcvSpUux2WwMDg5y7949vF4v6enpFBYWvpTVqKmpKQYGBvD5fEiSxKJFi8jPz3+ur6XT6cjKysLtdhOJRGhoaKCzsxO9Xo/L5RKHZV8zIohSQCQS4d69exw+fJivv/6a/v5+ysvLOXDgAB988AEVFRW/O8SZnbDu6ekhFotRWFjI6tWrKS0txWAwMDg4SEdHB/39/USjUTIzM+f9YVZVlVAoRFtbG8PDw5SVlb3QddR6vZ6ioiIyMjIIhUK0t7fT29vL9PQ0mZmZZGZmip7Ra0IEUZL5/X7u3r3Lp59+yokTJ4hEImzbto2//vWv7NixA6fT+dQP2/j4OENDQ4yPj2MwGCgpKSE3N5dFixaRlZVFKBSivr6ejo4ODAYDWVlZWK3WeXuYdTodsViM+vp62tvbKS8vZ+3atS/8dbOysiguLmZmZoZHjx7R0dFBIpHA6XSKMHpNiCBKos7OTo4ePcpnn31GfX09LpeLnTt3sn//ftavX4/ZbH6mhywWizE6OkpLSwuRSIQVK1aQk5ODwWAgJyeH9PR0YrEYPT09NDc3MzExgd1ux+VyzcvDLMvy3C0ejY2NFBYWsnLlSkwm0wt9fa1WS1ZW1tzVRJ2dnbS1tREMBrFareTl5b1w24XkEkc8kmBycpLOzk5OnTrF6dOn8Xq9LF26lIMHD7Jt2zZyc3Of6+tmZWVRUlJCPB6nu7ubsbGxuY+lpaWxefNmcnJycDqdnDhxghMnTjAzM8Pk5CRVVVXzMlRzOBwUFBSQnp4+d9NHWlravKx2VVVV4XA4MJlMnDhxgvPnzxONRpEkicrKStLS0l74ewjJIXpEr9j09DQXL17kX//6FydPnkRRFLZt28ahQ4d4++23X2iJXafTEY/HuXTpEv39/VRXV7N06dK5iWmNRoPD4cDtdmO1WvF6vTx48ACv14vZbCY/P/+Zltt/jSRJeDwe+vv7URQFp9NJQUHBvIWEzWbD5XJhNpvp6+ujqakJn8+HzWajqKhIDNMWKBFEr4iiKHR2dnL69Gm++OIL6uvrsVqtvP/++xw6dIhNmzb95qrY09BoNKiqys2bNxkYGKCkpISysjLS0tLmHlBJknA6nZSWliLLMoODg7S1tc1tfrTZbC987U8wGJzb4a3VaqmsrPzdixufRUZGBgUFBWi1Wvr7+2lra2N0dBSDwUBmZqao+LgAiSB6BWKxGC0tLRw5coTPPvuMzs5Oqqur+fjjj/nggw8oLi6et+V0RVFobW3F5/NhtVrJyckhOzv7Jxsg4fEd9oWFheTk5DAxMUFjYyMdHR0Ac/NJzyuRSDA2NkZDQwORSISamprnHm4+SVpaGoWFhaSnpzMyMkJjYyNerxer1UphYaE4ErLAiCB6yUZHR7lw4QL/93//x/nz54nH49TW1nLw4EG2b9+O2+2e1z09s9cIDQ0NEQ6HyczMpKys7Fc3MZpMJvLz87FarUQiEbq7u2lvb8fv92OxWJ47PPR6PeFwmMuXLzMyMsJbb71FWVnZi760XzCZTGRnZ2O1WhkfH6ejo4Oenh4URSE7O1vMGS0gIoheklgsxvDw8NwVz9euXcNms7F//37+/Oc/s379+hceij1JOBymv7+frq4urFYrq1ateuJDqdVqKSoqIj8/n0QiQVtb29yqW3p6OhkZGc/cu5hdxr969SpDQ0NUVlZSXl7+UnZ0m0wmFi1ahMPhIBQK8eDBAzweDyaTCbfb/ZNhqZC6RBC9JA0NDXz22Wd8/vnnc2fFPvroo7mzYi+rzo4kSeh0OjweDzdu3ECv1/P222//5ryPRqOZ28VsNBrx+Xzcv38fj8eD2WwmLy/vmSexFUXhwYMH+Hw+srKyKCwsJCMj46UcvJ1d3nc4HMRiMdrb23n06BHRaHSueqSQ2kQQzTOfz8f169f58ssv+fbbb5mcnGTDhg386U9/Ys+ePbjd7pf6/SVJwmAwMDAwwKVLlwCora0lOzv7N3sGs2FUVFSEyWSiv7+flpYWfD4fqqqSnp6OzWZ76t5FIpGgv78fnzeFzpAAABq1SURBVM9HPB7H6XRSVFT00uZu9Ho9+fn5c0dCWltb6e7uJpFIzF11LeoapS4RRPNoaGiIs2fP8o9//INr167hdDrZv38/hw4dorq6+pXNWciyzPj4ODdv3iQajVJZWUleXt5T7eWxWCzk5OTgdruZmpqivr6e1tZWZFnG5XI99YqaqqoEAgG8Xi9erxe73U51dfVLPT0vSRIZGRlkZ2djMBhoa2vjwYMHxGIxcnJyxC7sFCaCaB5MT09TX1/P559/zjfffENvby/l5eXs37+fffv2UVlZ+cpr6UxOTtLU1MTk5CRZWVnk5+fjcDie6u+mpaVRVFSE3W5ncnKSrq4uOjo68Pv9pKWlkZWV9btDS0mSkGWZ3t5e7ty5g8lkYsOGDVit1vl4eU80G5jZ2dkoikJfXx8tLS2Mj4/PlRgR5WdTjwiiF6CqKuFwmBs3bvDll19y/PhxpqameOedd/jb3/7Gjh07fndI9LJEIhG8Xi+jo6MA5OXlPdOd97P1pEtKSua2BDQ3NzM1NYXNZiMrK+s3h1kajYa0tDR6e3u5cuUKsiyzYcOGeTtO8nvsdjuLFi3CYrHQ3t5OY2PjXC1sp9MplvdTjAiiF9Df38/Ro0f53//9X+rr63E6ndTV1bFv3z7Wrl07rwdKn1UikcDv99PT04PP56OwsJCqqqpn+hparRaXy4XT6cRoNOL1emlqaqKvrw+tVkteXt5v9vS0Wi0jIyPcvHmTRCLB0qVL586+vWySJGG1WnG5XJhMJnw+Hw8fPmRgYACLxYLL5RIVH1OICKLnMDk5SXNzM0ePHuWrr76io6ODxYsXc+jQIQ4dOsSSJUt+sYHwVdNoNCiKwqNHj2hubiY/P59169Y917DE5XJRXl6OXq/H6/XS3NzM4OAgsiz/bjmRYDBIW1sbU1NTZGZmkpeX99RDxPlgtVrndpf39fXR3NzM+Pg4Wq0Wp9OJ2Wx+ZW0RnkwE0TOampri1q1b/OMf/+D48ePMzMywdetWPv74YzZt2vTSV8WelizLmEwmHjx4wO3bt8nOzmbdunXPPWFuNpvnbtUIhUI8fPiQtrY2FEX5zZ3Y09PTc8XSFEWhsLDwld/mqtPpcLlcuN1uJiYmaGhowOPxYDAYyM3NFWGUAkQQPYOOjg6OHz/O4cOHuXPnDunp6ezYsYM//vGPvPPOOy9tg+LzkCQJk8lEc3Mz9+/fJz09neXLl+NwOJ57stZisVBUVITNZpubxJ4tQ/tbk9ihUGiuKFtRURHV1dUv+vKemclkoqSkBJPJxMTEBG1tbfT395NIJMjIyJgrMSIkhwiipxCPx2lubuabb77h3//+N+3t7Sxbtoy//OUv7Nu3j/Ly8pRdienv76ezsxNJksjNzSUnJ+eFthHMTmIXFhai1WppamriwYMHhMPhuQf6x5sftVrt3ObGpqYmioqKqK2tTcqentmfQX5+PqFQiKamJrq7uwHIzc1N6pzem04E0e8IBoNcuHCBf/3rX5w7d454PM7GjRs5ePAgW7duTfl72sfHx+nv78fv9/+kKP2L0Ol05Obm4nQ6kWWZ4eFhHj58ODeJ7Xa7507Az14p/eDBA+rr63G73axevTppBfB1Oh05OTnY7XZisRgdHR20t7cTDofnisQJr54ojPYEs2fFrl69ytGjR7l37x4ZGRns3r2b/fv3s3Tp0gWxU9flclFaWkpvby8dHR2Mj4/P29deunQpGRkZ5Obm8umnn3L79m1mZmaIRCJs3bp1bs9Oenr63H1lY2NjdHR0YLfbkzY3o9FoWLduHenp6ZhMJs6ePcvJkyeJRqPIskxJSYlYUXvFRI/oCZqbm/nss8/47LPP6O7unjsr9v7771NRUbEgQggeD42CwSC3b99meHiYVatWUV5ePm9f32q14na7ycrKYmpqisbGRpqbm4nFYrhcrrne19DQEL29vczMzJCZmUlBQUHSz4BlZmaSk5ODRqPB4/HQ2NjI+Pj43FVIwqsjguhnfD4fly5d4vDhw5w7d45IJMKaNWs4dOgQ77//Pjk5OQtqHmG2auN3331Hb28vVVVVLF++fF6HkxaLhcWLF5Oenk4wGKS9vZ3u7m4mJyfn5o0kScLn89HX1wdARUVF0lcYJUnC4XCQm5s7F0azZVDMZjNOp/OFK1a+arFYDEVRUnq64NcsuCBSFAVVVXmcBfMbCMPDw5w/f55//etfXL16lYyMDA4cOMAf//hHampqXvrxhJdBo9EgyzK3bt2iu7uboqIiKioq5n1iVpZlsrOzKSoqQlXVud3Mk5OTOBwOHA7H3M2tfr+flStXvvJl/Cex2WwUFBRgsVgYHh7m/v37DA8Pk5WVRU5OzoJ6qP1+P4ODg4TDYbRa7dwtwKluAQVRjER8jK777XS1+ZgxmzBajMzHRn1FUbh9+zb/+c9/+Oqrr/B4PFRUVLB//3727NnD8uXLF/ScgSzLPHr0iL6+Pmw2G4WFhbhcrnnfdDk7Eex0OufKuLa0tOD1eudumZ29QnrlypUsXbo0JXqXs7uws7OzMZlMjI6O0traisfjQZbl391Bnko8Hg+XLl3i5MmTXLt2je7ubiKRCHq9PqW2l/zcwgkidYzp4Xuc/885LlzvZyo7j8xCJ+kSvEjeBwIBbt++zRdffMGpU6cIBAJs2rSJv/3tb7z33ntkZ2fP20tIFlVV6e/vZ2hoaG6Opri4+KXVdp6dIDeZTHi93rmekSzLtLa2MjY2xpIlS6ioqMBoNKZEGMHjw74FBQU4HA5GR0fnekYWiwWHw7EgKj7O9uiuX79OY2Mjg4ODBAIBAoEA4XAYRVGIxWJoNJqUOm+3cIIo3EnwwSm++fw0px+FmcpbTt7iQgpNoH3O9/Hg4CDHjh3jH//4B7du3cLpdLJ7924+/PDDuSXm14EkSXNd9r6+PtLS0ubt+qAnfb/Zc152u52pqSk6OztpbGzE4/HM3UWWm5v7QhssXwaDwYDL5SI9PZ3p6Wmam5tpbW2dO1uX6mEky/LcUDMnJwedTsfAwAB37tzh8uXL3L9/H6/XSyKRwGw2p8x7fMEE0czgI7ovnebKdze4O6FhzL6U3MLFLMvWYX7G9/Hk5CQPHjzg2LFjfP3113R2dlJcXMyHH37IRx99xNKlSxfcJOVvme1xDA4OcvfuXQDWr1+P0+l8qd/XZrNRWlqKw+EgEAjQ0tLC0NAQkiQhSdJczynVhj0Gg4HCwkLcbjd+v5/m5ua5Xdh2ux273Z4yvbifm70Wqrq6mmXLluF0OlEUhcnJSXw+HyMjI4yNjTE4OEh3dzderxe/308kEkGn073UelG/ZYEEUQBvSycN15vxjXsI6TUMxbKxZuSzsiwDl+npB2czMzPcvHlzrnZQJBJh+/btfPLJJ2zduvWF7hVLZbMTsZcuXWJmZoYNGzZQUFDw0r+vTqcjOzt7rjDb6OgoPT09+P1+CgsLWbNmTUqe9ZJlmaysLPLy8tBoNDx8+JDm5mZkWcbtdi+IIyFms3ku7Gtqali1ahX5+flIkkR7ezs3btzgxo0bdHZ2Mjo6iqqqGI3GpGw2Tf0gUich0kLzw2HqO7RkuSAnfYaenhhhjZPSlYvJd+h4mhzv7u7m7NmzfP3117S0tOB0Otm7dy8ff/zxCx0IXQhmV06uXr1KKBRi5cqVVFRUvJI33OxO7CVLlmC1WgkGgwwPD5Ofn8/27dtTMojgh5XAxYsXAzAwMIDH4yEUCpGenk5WVlbK9oxm6XQ60tPTcbvdLF68mGXLlpGdnU1GRgY2mw2DwYCiKPj9fnp7e2lqappb2AgEAmg0Gkwm00sfPqf+zurpUZTeRkZCGsIltawqyGW19xSdj7po7LjPnc63WbzIzKonjKRUVWV6ehqPx8M333wzV7ZjyZIlbNu2je3bt2O32/H7/cAP2wNeN5IkEQwGMZvNDA8P09jYSEFBwTMVS3ve7zv7R6PRUFNTw+DgIGNjY3OrUxUVFS+1Dc9Lo9EgSRJarZZNmzYxMTHB119/TXd3N8FgkN27d1NWVpayYfTjn7skSaiqSjwen5ubW7duHX19fTx8+JCGhgYuXrxIf38/Wq2WlStXsmPHDnbs2PFcN7k8q5QPohl/iJGHXkKTuWSuWkrh0kqyWwZZc+Yhnf1NPHjgYXV5DqtKfj2xp6enuXXrFl9++SVnzpyhs7MTjUaD3++nqamJcDj8+PvMzKAoyqt8aa/U7IR1T08Po6OjfPvtt/T3989VTHzZ4Tu7ShOPx+nq6iIej9Pd3c3f//53nE5nyu51kSQJvV6Pqqq0trYyMTHB8PAwoVCIxsZGFi1ahMlkQqvVpvwvsNk9ZVqtFr1ej0ajYWpqaq6u+GwvCB6vvkmShMVieSWraykcRCowTWh0kPv3x+mXDFiqAkxJmYypNux2FWNbD513GmlesZjxEhe/dqmxoihzS5oTExOUl5eTlZU1t7Tc19eHqqop/yZ6UZIkoSgKJpOJ3NxcFEWZu5DwVQTRbBtm/+Tl5ZFIJOjs7KSrqytlgwj4Sa+irKwMh8PB2NgYd+7coa2tDafTiclkWhDvo9lfCLIsE4/HCQQCjIyMMDExQTweJyMjg+LiYrZu3Tp3Q+8bHkQJoIeJsQ7u90/SGx+hpOUeHZMO9B4/Ia0BOT7GRPM9Wturad/iosoEP98ZYzAYKC0tZfv27VRXV5OXl4fNZkNRFOLxOLFYLOXfPPNhNgBkWUaSJBKJxI92qb+aIILHD4JWq0Wn05FIJJiZmVkQP//ZB1ir1RIOhxkZGWF8fHxuMt5isaT0sH52+CjLMrIsoygKIyMjPHjwgJ6eHkKhEA6Hg5qaGnbt2sWmTZte6XaF1A2iRAx1qJmJAQ8+aw6qMRuHRsUQjoDRQdbyFZR6buNpaaSvqYl6zxoKSrSYfhbeWq2WsrIyDh48SDQaxWazzZVRfRP9eD4jVR+aVDUb2IqiEIlEmJycRJKkuVP8qfqemg1/g8HA9PQ03d3d3L9/n6GhISKRCKWlpaxbt44lS5awcuVKamtrX/mh39QNopkpJh4NMDacIGPFOkqKl7I6BzKNMgp5ELGhBAL4hx7R3tlM/b1hVjvyyP2VrTFWq5UlS5agqurc7P+b+hDOBtGb+vrny2wgzb6nUnXCGn4YlkejUcbHx2ltbeXixYu0t7eTlZXFu+++y5YtW6ioqMBkMiVlFTNFgyiKkhilw5NgMJRD+dpKliwro0wfw6RRUeUEEjlI6zuZaGqlr6uVR7ea6KjO5C2n6RdHPmZXPgThTdXb28vVq1e5du0aPT09AGzatImamhrWr1/PsmXLkjpPl2JPpwqJaaaDzXiabnP24TADSglbdCYKrRps8o924Kp6spxu8lxaNLcf0HTlBBcrzZQ5qii3pWExalLtxQnCK6eqKm1tbZw8eZIzZ87g9XrJzc1l+/bt7Ny5k8rKypQ4c5Ziz2ocwl5GGi5w/dQFvr0jMZnrotgXYWpaJSvtR93fmJ/Y9DRTsQQxfy8TI2c5d9yGy25m99pKqgqM2FJ3IUYQXoloNEpDQwMXLlxgZmaGuro61qxZQ1VVFcXFxSlzzi/FgghAAsmGKb2IZSstJPIX4bYZkOIKCWS+n+EBJQ7WQlwrd7M9upi8STvaggysGokUHq4Lrw0VVVFB0qT8+81isVBRUUFOTg51dXXzWqFzvkhqSs1aqpCYYWbSTygUJhTTgsGKxWLGZtaj10o/lEJTosSnp5ianCQ0FWE6rkHRmjFbbdisZtIMGlIj64XXkhonPjNNNDLDdEIlwY/K9KkqqiQhqQoqoKJFqzNiTDNg1MkvVLbmWSmKMlcGxGQyzV14kGpSLIiE19fjzX5KAtBokBf6sFmdZmZiEG9rI61NzbQMThOQs8h0O8hzmjFoNRANMD0VwDsooVqKWL6pmpXLcsjkxWpovY5ScGgmPB2V+S6V+3KpkIgwMxkgMBEiNDlNJAHIerQ6HTqdjE6nRZZAUgHZgD7NgsVqJi31foGDpKIqUaZH2vFc/Zxj10Zp0tVQVbuKd9/KJdMgI0VGmBwfpOmun6B+HIrzyF2Wgw14fYrMzA8RRAuVkkBREsQVGTRa9FoABSUWJ64AWj06ObWiSkqEiE600nnzJte+e0TTsErcWUxOgZuCTC0mppkaH2FiPExQ68ZRsYaa2jWsqbCTlUovBAAdurQsXLl5FDm1pGniTKp2TDlLWL62gjxZgkSEWDhAvqmV4YCE1SIxrUJcEkH0cyKIFiolRjw4zNjwIP2D44yEEsR0FtLSbVjMekyaBJISIzyjomhtpLtzyclOJzNpK7USSBo0coJYqIeeGye51KIlsryO9WYXeRkKaiJKNDLJVGCA/oEWWtu66fKOM7x9E1uqXRSY5RSa99MimzJx5peyuLSQogIVl1rMoooVVFcv4cdVrapzixkZHWci24EeMSz7NSKIFio1QSI0SKD1HNfPXOP0vUkmMpawpHYNK4rsuBIjTI/00dEzhi/mxrFyMxu2bmBDqRVXUn4dS6C1Y3aVs6hiMaU5VnLGrUwu2UjVpi3UrZYxqgliM2Fmgh20XTjK+TM3ufQfL92DYaK63dStcZNLavXyHuerBknWICUkJKQfgkZVUcJh4vYs0rOyser0aERv6FeJIFqoNDpkkwWLJY482UfPg2EGC7LJ3uIgLSeL7ISeab1E1D/CVPMdHpwNMhySUP+whncqM7GThN/MGj1ao4tMdw45WRm4XHaM+aUsWlxCWeGPP7GYorQA2mAPzf+8T+N5K6cWl5Gb7cCRq8WYQl0KNZEgkVBQFBVVUUjEY8RRgSjjnl76e8bAnUv2kkU4Eb2hJxFBtFDJenSOQrKXVlJZWUaxW4+uoJyKNbXU1DpYhoKSSJCoctF08p/8P59f5/o3BmxF2SyqyGSZBpJTKVohkVBIqCqqkkBJxIhFH9da+GHYlYapfCNv1Q2y42E/wzce0Hi9kbtLKtiY5cSYSiWuJQmQ0BBDiQYJjg4x2GdG1odovtvEo+YQGSvAWLqIdF2yfuapTwTRgiUhyUa0VisWmxWLyYzZZMWabsdmMv5QOreinBXdOeRoHzLZ00pnzxh9IShLT14QqYqKqj4+fvA4jBI/2qz6PXkRjtI1VFUc57t7rVzraKKvw0vs7QwwpM5M0eMNjRpkJUzc303Po5tczezCqfXTdHeQzqF0lueUU62oSKk1qEwpoqe4oMUhEScWV0ioCqDO/u8H02FCkQQxdBhMBgxaGTmRYvMsv0qHqssly+0mx64gBweZGRtCjceT3bBfoSKhoiox4tEZpqdnCE8paHQmbOkWLGkG5NT/gSeV6BEtdOrc/82VpvihKk6IYGcz9Xfb6QiYkHPLKVnkZJFlYQwRJNmEyWzEbAR5IoIyHYFU23+rPi4FEpfM6OzFFK9Yx8YdZWSTwF8xxPBgCOMiCwZJJbEA4j9ZRBAteBIaWUViismhdrruXOF2zM5o1E9koo2mC2e5cn0YT/p6VuzcydbVi6jQMy9Xdb98KqqqoKKiajSgkVFT7WFWHx/iUCQjstmNq7CcJYvLcAIUFjHlG2ZKb0IrS2L48RtEEC1ojydKJY2KRISpsV76Gu/wYDqd4SkPEz0PuX+3jdYJO6bVRZSWuXFbDAvmgVDjAUKBEIGwhkRaJtr0DKQUOxsiSRo0koQkqaAqKEqC2OwH9SbScvMxIaFqRBD9FhFEC56KqkioGDCl5+AuXcLiZXYWzbiZyivA7cxmUXMPbYF62i5ncN4iI68tZ4kDzCnWufipMER6GfAOM+g3oFtcTHpeAbIuhSaqAXQ6dLIGWZK+n7j+2ZS0RisC6CmIIFrQvh8WJCRULFhzl1Beu50NGzJZ/v3HlaHvaPv2H/x//+8Jjh4ZwBPNQM4sJM9qxJyUiSIZWSsjax7fjKGRdWh18i83+U014bn/Hbea/Xi1ZZRUV7N0STZGXao81gkS0Qhh3wD9Az6GhoaZYIDBgSH6xguwWI2YdKICxNNKlX9V4YU9fqh1RhPGuWt7NMg5lZRtXM2yEhv2YD99zZ20dY8Snk5ioXf1+7mf2RW+X/TMfIzcu8y141e53mclXv4Ob7+zjA3lBoyp8qtTjTDj99Db+oB7zf10egYJDrTS1dTE3Yf99E7GmU52GxeQVPlnFZ6LDnQ69FoZ+fvwQfr5XIQRbboNi8WIXppAjSeIxdUkLD4pEJ8iHOimt7WZ1q4BunpDhJvreXQ3jWtxHWZNglgkzLS/i47rD7jTZ8O0ooZtO97jvbfyqbCl0hv2+42MaW7slVtZL41TrC3GXZaJTSN2DD2r1Pl3FZ6RCuoMSjhMJBwhEp1heiZMeDLEZFzH3G6bqAd/Sye9g9NMpWWTW1pISaEDo+FVd4YViE0wNdyBp6ufgSkdESVBwveQ3gaFSwEDNu0Mk6M+JkYnGAlbMVRtYO+GjdS+VUqFw5haWw4kI8aMRRStc+Jatp1NM3Hikh6t0Yw5zYzZrPthU6nwu0QQLVTxMJGRDoYaG7jf0ERb/xDexF3ufHsc+4QbjzaOJhoiMNSE92ED18dzsa9fx9qdNWwpN5P+yk9eSqAxobfmkbd0G1s+KWdxQEJNd5OZlUGWVYdJjhFxZDGZF6fUlEdW2XJWLC+k1PKq2/o0ZDQ6M+Z0M+b0ZLdl4RNBtFApMWKTfiZGokxqMslarENKk5F9HQy2BEE/gyYyzrCnj8FRK4bKTWzdtIOdm5dQkw3GVz52kMHgxJaXwcrsVVRtA0XlJ/WeJen7Yx8qIMnIWi1aMYv5RhClYheqxDQzAR8Tw/30DYwyFIgzrTFitlqxmI0Y5QRSPEI4GGYqbkDnKCSveBFFbgNpYgJDSDEiiARBSDrR8RUEIelEEAmCkHQiiARBSDoRRIIgJJ0IIkEQkk4EkSAISSeCSBCEpBNBJAhC0okgEgQh6UQQCYKQdCKIBEFIOhFEgiAknQgiQRCSTgSRIAhJJ4JIEISkE0EkCELSiSASBCHpRBAJgpB0IogEQUg6EUSCICSdCCJBEJJOBJEgCEkngkgQhKQTQSQIQtKJIBIEIelEEAmCkHQiiARBSDoRRIIgJJ0IIkEQkk4EkSAISSeCSBCEpBNBJAhC0okgEgQh6UQQCYKQdP8/cXvihiILETQAAAAASUVORK5CYII=)
maths-General
Maths-
In the figure, AB = AC,
and
Then
![](data:image/png;base64,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)
Hence BC=CD
In the figure, AB = AC,
and
Then
![](data:image/png;base64,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)
Maths-General
Hence BC=CD
Maths-
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =
![](data:image/png;base64,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)
Hence x+y>180o
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =
![](data:image/png;base64,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)
Maths-General
Hence x+y>180o
Maths-
In
then ![angle B equals](data:image/png;base64,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)
In
then ![angle B equals](data:image/png;base64,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)
Maths-General
maths-
The vectors
are mutually perpendicular then ![stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals](data:image/png;base64,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)
The vectors
are mutually perpendicular then ![stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals](data:image/png;base64,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)
maths-General
Maths-
If
be the three vectors such that
then
If
be the three vectors such that
then
Maths-General
Maths-
If
then ![stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals](data:image/png;base64,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)
If
then ![stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals](data:image/png;base64,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)
Maths-General
maths-
If
represents the reciprocal system of vectors of
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
If
represents the reciprocal system of vectors of
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
maths-General
physics-
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491923/1/960440/Picture199.png)
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491923/1/960440/Picture199.png)
physics-General
physics-
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491976/1/960361/Picture194.png)
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491976/1/960361/Picture194.png)
physics-General
physics-
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
physics-General
physics-
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is ![t subscript 0 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAQCAYAAADJViUEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAKZJREFUeNpjYEAAFSA+ykAmCALipeRorAfi/0i4nFQDVgFxALnOvgHE8uRoZALib+Taag7EB8nVHAnEC/HI+0C9dQPKRgETgDgHh0ZLqKuEoXg/VAwOpgDxXByaNwCxPRLfFog3ISvQAuKn0DhmQ9P8CRqgyIH7idjw+I9F7BexmtFtZiHFZnQ/g9hbiNVsCQ1hQSAWhYa8FynpABS3t4D4HRDnwQQBbdohhuIJGzsAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnQ8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tYXRoPjFBmiYAAAAASUVORK5CYII=)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492016/1/960322/Picture189.png)
i) Average velocity of the particle is ![fraction numerator pi over denominator 4 end fraction v subscript m end subscript](data:image/png;base64,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)
ii) such motion cannot be realized in practical terms
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is ![t subscript 0 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAQCAYAAADJViUEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAKZJREFUeNpjYEAAFSA+ykAmCALipeRorAfi/0i4nFQDVgFxALnOvgHE8uRoZALib+Taag7EB8nVHAnEC/HI+0C9dQPKRgETgDgHh0ZLqKuEoXg/VAwOpgDxXByaNwCxPRLfFog3ISvQAuKn0DhmQ9P8CRqgyIH7idjw+I9F7BexmtFtZiHFZnQ/g9hbiNVsCQ1hQSAWhYa8FynpABS3t4D4HRDnwQQBbdohhuIJGzsAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnQ8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tYXRoPjFBmiYAAAAASUVORK5CYII=)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492016/1/960322/Picture189.png)
i) Average velocity of the particle is ![fraction numerator pi over denominator 4 end fraction v subscript m end subscript](data:image/png;base64,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)
ii) such motion cannot be realized in practical terms
physics-General
physics-
Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,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)
Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,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)
physics-General
physics-
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492059/1/960065/Picture183.png)
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492059/1/960065/Picture183.png)
physics-General
physics-
An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492066/1/960063/Picture182.png)
An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492066/1/960063/Picture182.png)
physics-General