Physics-
General
Easy
Question
A reflecting surface is represented by the equation
. A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOMAAAD6CAYAAABTV/AfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADs/SURBVHhe7Z13VJRZuq/vvX/ctW5a95+zzpwzZ06+M3PCzJnT02N323bb5pwRJAlITpJEggKioIAJFAEFMyYQIwiIGBAFVAxkRHIVBVVQpKIoCqr43b035bQiIkipVbCfXrW0v+8rBOp7vv3uvd/97v8CDoejE3AZORwdgcvI4egIXEYOR0fgMnI4OgKXkcPREbiMHI6OwGXkcHQELiOHoyNwGTkcHYHLyOHoCFxGDkdH4DJyODoCl5HD0RG4jByOjsBl5HB0BC6jlhgYGEB7Rwd6eno0Rzic8cFl1BKvXr3CsePHkXUrW3OEwxkfXEYtIBKJEHMoBkuXLYOvnz9qamtYS8nhjAcu4wRRqVS4euUq1qwxwO9+/3si5HLWQjY3N2uueBM11OR61YCK/En+PjgI9t8gOUaPq+jfNZdyphxcxgnQ39+Puro6hEfsxqzZczDtm2/xp2nTsMHaBgX5+ZqrXkNEU3WiXfAKL1+UoLSiAYIOOWTKbnSJq1FXXYMqoQydvdzGqQqXcQI0NTUhOfkikTECHp5eMDRahyVLlsLRyRnnzp1DQ0MD1Gq15mo1Bgda0friKm6ePoyoUznILCciysRofZqB3OxsZFa2o1HOZZyqcBknQElJCSIjI5GSkoLU1DS4uLjCz88PyRcv4tTp07h77x6USqXmaoK6BwPliciI84ON/3nE3BajQ9oEUVYSsq+nIbNJDuFrdzlTDi7jBKADN7m5uaivr0dxcQk8PTxx8OBBdryouBiVlZXDBnJUQHs+nlzaAw+bEEQkZuOxsAo519JxO+0BymUD6NZcyZl6cBm1RFFREVxdNyImJgaDo47C9KClKAMXvZ2xO3QrwjOzEHWxEDl5jehV8RB1KsNl1BJvyvghBsRFqD3lgT1uRljnewhbkipR0KgEV3Fqw2XUEi9evGAyHjp0iE1TjIqyGQMVx5CwxRFmFuHYn1GDqj7NOc6UhcuoJcYlI4h5/QVIP3EEoQHncPNFEzo1ZzhTFy6jlhifjL1Exkd4eOsmTp8tQWVDD/ggKofLqCXGJKO6F51V+XiafhxXkxJwPDUPN0t6Ie3mvUUOl1FrjEXGwYF2NN48hJObLeHsuQdhV0pRLCNdSO4ih8Bl1BLjaRmfZV5BalYhCmo70aU5xeFwGbXE+PqMHM67cBm1BJeRM1G4jFqCy8iZKFxGLcFl5EwULqOW4DJyJgqXUUtwGTkThcuoJbiMnInCZdQSXEbOROEyagkuI2eicBm1BJeRM1G4jFqCy8iZKFxGLcFl5EwULqOW4DJyJgqXUUtwGTkThcuoJbiMnInCZdQSXEbOROEyagkuI2eicBm1BJeRM1G4jFqCy8iZKFxGLcFl5EwULqOW4DJyJgqXUUtwGTkThcuoJbiMnInCZdQSXEbOROEyagkuI2eicBm1BJeRM1G4jFqCy8iZKFxGLcFl5EwULqOW4DJyJgqXUUtwGTkThcuoJbiMnInCZdQSXEbOROEyagkuI2eicBm1BJeRM1G4jFqCy8iZKFxGLcFl5EwULqOWeP7qFew8vBCZcFRzhMMZH1zGsTI4CKgGoOrrg1Iux4C8B2r6ksmg7u5C0cOH2OTgiCN796K/vR0qWTcGurvR39mJAfKi16jJMXUPuZ68f1ChwKCyDxgYGPranCkPl3EMDBKBlLU16Mh7gKLk87gTcwgVcYfQmRCH9gP70RoeinI3J1ya8yNyVi2FwH8znm31Q47fZjz28UJdgC/adgajbV8EpDEH0HHiKDovXkB3Zjr6CvKAVy+BjnbNv8aZqnAZ34C2Wv0CAfrKS9FLJJFl30TX1RQoLpyB+HAMsolcuw1WI2zBPNyzMkObtxsk7k5ocbVHheEqZE//GkWL5+L5muUI/9dfw++f/gFXF8/DS0sTNNtbQeRkC5GbI5q93dGy1QftRNAWImgpEboo/jAaL5xDR0Ya5Lk5ULx4zh4AKqkUg2reB50KTG0ZNaEnDRv76+sgv38PHadOQLJzO5ocrNFgsBwNyxeiw9IYRRvMseWnmTD8058QYWyEZ3si0Hv5IhREnv6HuSg+fhR7zExwKSgQd+LiYDRzJoxnzULeyeOQ5d5D791syNJT0UXe03n2NNrj49AbTST03YRdixdi+/Rvkb1gDl6tWIQmC2OIt2yGNO4gutOvQ1FWAlVnB/leiZQ8pJ20TEkZBxS9kFe/QvedbLQfj4dkRxBaNrmhmbxaSIgpDvSDOHgrWnftgDRqL7qOHcHNwC1Y+sevsXL+AmQnJaGtrBSD4hagq5NJUvKiCB7uHvDx24Ko2DisMVsPv8AgiESiIYGUStZvHJBI0N/YAGVlBfqePEIakXrpV1/BasYMFIbugDhqD/l+AiEO2sJaz2YfDzR7bURbkD/aSYjbdvUSZOTfVpM+J2dyMWVkHOzthVooQPuLZyi8dBF3iQTPNrmj1tocQqNVEJobodnXC+1HD0OWlYG+inJA1s3eW9PQiD2RkVi6fAW27whBR1cXO/4mlVWvsNHdHT/+NBuGxibYEhCAO/fuYWCUaY6Xr6qxMzwci5eRsHbPXvSQ75HSL2iAnPRPOy+cJa10MJrsrNj3+GT1UpxbsxK3/EiIS1rY/qdPoKypHmo1OXrPlJBRRVokxaMCKA4fwjNHGwTN+hFeP3yPSxssUHcwEoqb6VCQG7uPtFYDTUJyc3dikI5yaki6ngoDUzO4e3kh9+FDjBQoVhGxHByd8Iu//iW+/+FHnD9/HjKZTHN2ZE6eO4c164zh5euLvMdPNEeHUPf0kFZUzGTrKy5C05VLOOm+EWv/+BUC//A7VJMQut3OApLQbejOSMWAqEnzTo6+MmllHCR9wT4SznUln4ckYidaSR+sL8AHd03WYtEv/worvpmGWwnx6Kh6qXnHu6hJeNnU1AQfIstPpP934uRJIthQazmc8vIKrCNi/fKXfwPz9RYoKirSnHkX2lrW19djo5s75sydi/MXLqCHyDca9x7mwdHZBStXrUK0sxNEocHo8veGyN2JhbLi4ABISTjdm5cLkIcPR/+YdDKqu7uhrK+D7G422qL2QWhlhsY1yyAmN63qQiKyow/gp+++g6WNLYRCoeZdI9Pe3o6zZ8/AzMwczs7OKHz6VHPmbQaJtPfv52LW7DmY+dMsXCBySaVSzdl3ETU34+ixYzAi8rqR0LakpFRzZmR6SP8wdFcY5i9chP0kXK6tq4OahLSDtTXoSklGC+njNhiuhNB4FVppfzP1GiQkzFa0tQ7NY3L0gkklo6qtDd3kRmzx8YLAzBAiFzvSKoZCRvqIisLHkNfV4BIJHxcuXgKfrQGQK5Wad45McXExLCwssHbtWly5cgXd72kVu0gf8ujRY/jDf34Fa43karVac/ZdHpJWzshoHYxNTJCenk5aRbnmzLvQFvNhXh4srDZg1RoD5Ny/jze/Mg1lFSVFJFRNg+xwNET+m5FstAZHzE1REnMQqpcVmis5uo7ey6jo64OkpBiitOsQHdiHZi83NFmbo9nTFR0nj7Jpgdc0SCSIjU+AKWnpoqMPQTmKjC0tLThx4gRmzZoNDw8P9v/vg0rr7u6B3//+PxC8fYfm6MhQuZKSkrFk8VIEBQWx1nc0Kisr4b9lKwzWGmL//shRvw+VsBHFh2Ph9u00mP3NXyNr7SrIwkPQTUL1PvI7Guzv11zJ0UX0WsZBuRylOTm4vMUPN1YuRdGKRWj23QTZtcvob6ChHGlx3mihckkLszUwCB6enrh+PZVEcCOHcDTszM6+TST0hBVpkZKSkt6b/E2vpS3dxo0bmbgHDhzUnBkZCXkgpKXdQHh4BDIyMjVHR4Y+LFIuXcLcefPZ4FBpaemoSegtJPw9QfrB60ir67JyBfLcyQPJzhJNpJ9Ms4Tk+Q+gIvIPjvI1OF8O/ZWRhGfdFy/gxHoz2H8zDQeXLUbZ7jCWOaOWtmkueptzJETdYG2DXWFheFFEWgo6/zcC9IY/deoUHBwcSfh5FAKBQHNmZOhcIu0nWlhYIiYmdtQQVU4eIPTrVVVVoY2E1e+Dfg8VpFUM2bkTixYvxoGD0aO25JQH+fkw2WANczt7XE1JgeTxI/Slp6E1NBhNtpYQ2lui9eB+EtYWa97B0SX0TkY16Z/1Pi6AIiEOIlcH+Pzmn/HdP/0ToneGolXQqLnqXah4EXt2Y8GiRUyw0USgMt2+fRunTyfi5cv3j7a+SUVFBQtVtbWEin6N0rIynDp9GrFxcSgsLNScGRka7sbExOCHH2YiODgY7W/Mhfa9rIT0SCyR0QqCDaYQ7wiEPPMGeYrw6RBdQn9kJDKpSItHJ+RbSH9QYroWNZ4b4TzzB3w77Rtcvn4dqve0dBTaV9u0yRvTv5+Ba9eujdp6Uej1dGBmrGLRENLNzV1rMtKHB/0eWltb2chsH+kbvw+FQsFCXycnZ1haWiE1NVVzZggalqo62iF/UoC2yN0QGK9Bo6UxWk8koKf61XvDdc7nRW9kVJSXQnooCk3k6S52tIFk/248O3kCzhussGrtWuQWFGiufBd6s1VXV5Ob1YWEfEuQm5urOaM9vuTi4sbGRtJndcP8BQtYq99M+o4jM4i+ynLIziWiyN0FiYarcc7ZAcVXLkHxnpFizudD92Xs7oL8cR4ku3dCYGYEERFRfikZbTXVSMvMhKunJ7w3bx51kr2jo4O0FmmwsbGDk7MLG/3UNl9KRtrCl5SUkJ/NFhaWlmP72ch70k+dxNp//zc4/fVf4q6NJdquXcIAzaPlfDF0W0alEvJbmRB5ukBgYkD6OtugKHgINZGrsakJB0hfynnjRtanamho0LzpXYTCJiQkHGWtR2RkFMt+0TZfSkY6qEMHg06dOo3kixfZg+dDtHZ2Yn90NGZ89Uds+WE6XlmvR4udJdqPHcFAy/taVc6nRmdlHGhrhSglGdWujmi0Nod0Xzh6n/48iFFe+RKuRER7BwfcvHkT3d3vD7PoYM2dO3dx5cpVNhAy2rUfy5eSkYbgVMDGRgHEYskH+8L0+itXr8LK0REW1jZIPZqA3pQktG/2gMDCBK3797D1nJzPj07KOCgWo+H0CSTOm4Uk8mo5dQzqprdT1/Lz87Fs+Qo4OjqxlmG0m5DKQZO26bTCpxqs0IeCVHRQiPYv6UNs6bLlSDx7Fi006UChQN+DXIi8NqLRcCVad++CougFBj8wlcLRLjono6pZhO4TR5Ex9yes/T//C94mJqR/WKM5+zNpaWmY8cNMeHp6sVHHL40+yNje3oHr169j+fKVbNSVzmO+Hn+mCRRy0gUQh25Do9EqtPj7QPGMRCJ8pPWzoVMyDtA6MzEHUGVmhPjp0zDr17+GW9A2dCrfTuOiw/1xcYdZYvbOnbs0R78s+iDjvXs5sLG1g4GBIY4fP45eIuBwFMUv2LKsJjNDtAX6offubbYEjfPp0Q0ZSfjUX1eLrqNxaDJZg/vrVmOPqwusNmxATEICenp/XtVOQ63y8nJERR2Ao5MzW36kC+iDjBcuJGHlqtUIDd2JutpazdFhkN+vknwWHZF78HL1Utx3tENRejr6dCD6mOzohIwDQgHaovZCTCeiA3xwY2cIfLw3wycwEBmZmVDSkoYaqIx0zpBOcidfTEFxyc+J4F8SfZDx6dNnOHnyFAoLn5I+9ujfYzcJUW96e8L566+ww8ICovw8HrJ+Yr64jP0N9ZDGRaPR1AAdW7zR/6QAZxITsc7MHGERu1H18uVbNw6VsbOzCwKBEE0i0QdX038u9EHGXhJh0N/dWAaxyisqsW3LFiz89jv4Tv8WlX70s3lER8M0V3C0zReVUdXWio6Tx9BIwlK65En94hkG+/qw9+BBzCT9wcNHjrAR0OFQIenoKf1TV9AHGccK/b0mnr+AJStXwsPJCTc9XFGzZhkrLcmmPbiQn4QvJiOt8dJx5iSEVqYQuTtDnpXJMkNk/QPwDwjE9Bk/4OLFi5qrdZ/JIiNtNelU0WY/P8xZuJAlqnc8fYL2PWFoMlsLSWgw699ztM8XkZGOztGEb6GtBYTW5ughf0evnCV6V7ysYiUP6UDDnTt3NO/QfSaLjHS9Jf0ZaCWCTT6+KC4vZ8fVNdWsjCWd9miPj0V/0+jLyjjj54vIKM+9C5GHM5HRkrSOp/+8/rCT9P/SbtzARnJTe3ltwvPnL9hxfWAyyEjD0ydPnsDQ0AgGBga4mXULva/rs5KopSc3hy3eFpgboeP08aHF2xyt8fllrCxDB+l7CEg/UXroAHnC/pxZIxAK2ZQFLf4UExuL+vr355vqGpNBRrFYjMTERCxZsgw+Pj6slXwT2rXoTk8l0cx6NDnZQHYzg238w9EOn03GfqUSba+qUBaxEyXrTdCyawcrpPQmNCPE2cUVtnZ2yLx5k4386QuTQUaabJ+Scgl79+5HRkYG+TneHXUdkLSg8/wZNNtZom2zB5R0hJWnzWmFzyajpKYGNyP3IXzmD0g0N4X0cQEbOX2TxyREWrJ0GaxtbPCyqorcDKMnPesSk0FGOnJN10LS6nadnZ2ao8MgoexAswjte8MgMF0L0b7dkJWXaU5yJsJnk7EqLQ0H58+G2d/9CntJCNQ5rER+f38/rqemspX4Lq6u6HrfzaCjTJYBnLHSdOsm0i1MEE8+03sx0RjQbE3A+Xg+vYzkSaoWifAiLBQRv/9XmP3nf7B+Ydew9Cpa4uLs+fNYtXoNIiJ2Mzn1iakm453bt+FpYowN//pbJFpbQvaogD5RNWc5H8Mnl3GwvR3dZ0/jkZU59s6fC6ulS3Dw8GF0Dev40zWHN9IzEE5EpKluH1qXp2tMJRlprdpdUVGY9cOPCFyxDHnks5WEbEN/5dA0COfj+KQy0s1jlIWP0eJkg3yDlTjk5Ql7e3scjI1lLeGb0LS2atKvfE5uarrmTpeya8bCVJGRFr+ifXtLW1vWv884dhSd4SFoWrcaXecS2aZBnI/jk8qorK1GV3wsmi1NUOixEfEHDsLR0wsHo6PfGSCg8tEBG3oj65uIlKkiI83OCd25EyamZthNPs+6+gao79xCi7MdWvy90XPvDq9c/pF8Uhnp/oK0top0RyDKLybj6LHjcHD3wIGDB98/WqenTBUZaRnI+QsWws7OAS/KyqGkz812KTpPHUej6Vq20SvdEJYzfj6JjDQ8pbvztmzxQTP5gHoz0lBHQtBjJ07C3smJy6iH0J+JLl3bsSMEc+bOw/7IKPS/sfqjr7wMTS52EG4wY60jTRDgjI9PIuOAWIyuC+cgcrGHdNd2qGpeoaG1bUhGBwcuox5Cq9DRvUH8/bdgW3Aw2xnrTejuyTTxv9nNEW3hoegbltDB+TCfREZaxU3kZAPRRgco6eadil40tIhx9PgJLqOeQn+msrIy3L17l9VmfafPr1aRaKgenXvD0GZuBHlKEt9gZ5xoXUaaq9h5/iwa1iyFJGwH0DM0hVHf0MD6jFzGyY0o6RzyFs9FVaA/+murWYI5Z2xoVUb6JJTnPYB4eyDb3ppuXPqaurp6tqEol3Fyc+fyZWybPweXly9Gz4WzAN82YMxoVUa6pKY1ai8EFsZoPxaPfuHPa964jJMb+jPT7c0joqNhOHcOjvzbryHd7IHBhjrNFZwPoT0ZyYehrqtGq6crWixN0PcoX3NiiNraOhw5Es+SwOm+9FzGyQWtah5PHrbrnZzhYWON1Hk/QWJtjr6cO+8sCOCMjNZkVEskkF+/AombI6QhQVC/0SpSaMsYH5/AZZyklJaVw2y9BVYYm+BaUhIaYw5AQrdyPxSFvgq+qmMsaE1G8bOnuOfuiuvr1uBRdBRaG9/euJTub5GVdQt79uxBUnKyzlR10xZTWUaJRIxTpxOxcNESuHl7o0koBOrrIN0fgSYbC3SlJGmu5IyGdmQcHMRL0ioenDkDm2d8h/DAQCSnpKDw6VO2YLWlpYWVVaQbij58+JAVIf7Qltj6xlSWMTMzE3Z29ux15fp19GnS4TqTzqFh5WK07YuAmhai1sM0x8/JxGUkv99BaRtqEw7j7E8zsHXhAtg6O2OtqRmWLV/Ochj9/Pxx9Ngx3L5zm4Srdejt7dXL/NPRmKoydnV2ISR0J374cSb2749kWy+8Rv7gPoQ26yEO8EVfaQnvO36ACcs42K9E3+N8iHZtR5GDDW5GRODIsePw3RpARDTFqtWrYWJmBlvy1NweEsIqvtHOPpdR/6Fdj9TUGzAxMcWaNQbIvn1bc2YIZU012iL3oNnbHZ1nT0P1hqicd5mwjKquTnQcO8I2NG2Lj0V3eRm6SX+wrU3KQlS63OYiCVlpChXdYZjW4aypqdG79YofYirKSD/fHSGhsLLawEbK6dK3N1F3dqInOwstnq6QbPVBf/UrzRnOSExYxoHmZvbko8WIFQ/vEzvfLWJEW8IXRUXIuX8fRcXFaJNKecs4CWgRi3EhKZltqFNTU/tudQbye6Bzza0+nhCbG6H/cYHmBGckJiQjzbhRlJSgiZbus98AZd27+yhOFaaijH1KJROynW64+j4G+tEYFoKi1UshOH8WChJJcUZmQjKqSAvXnXYdIkcbtqcf3TtjOHQKg46ejrbn/mRgKspIY5sPRTiDpDty72AU4hfNwy3fzZAUPtGc4QxnQjL2VVawQsQtvl7ovHAGak1S+GtoOJp88SI8PDzYaCot2TBZmYoyjgX6MN4ZFASD3/wap1cuQ9uNVM0ZznAmJGPP3dukv+iB1rAdUBQ+fmsPeFrjhk7um5qZYfHSpWxHKTqlMVnhMr4LnUt+mJ8PU1s7zP/7v0fS99MgP3OSnJlc4wXaYkIydiafg8DEAG2HoqB6o9QCFZHWQDU2NcXCRYsQfSiGhamT+SblMr4LLUS9fedOGBMZg1avQu70ryHbu4s8tPl840h8tIy0tAbd5LR+2QK0J5KnnWaqoqurG9euXYOZmTkWL1nKaqQ2Nk7+HYu4jG9Dt5a7fOUKFpB7wNVvCx4fS0C90UpIA3wwQPdX4esc3+HjZCSd9oFWCSR7wtBovAbyzHR2WE76hLTmqY2NLRYsWIh9+/a/lZExmeEyvk1lZSUCg7Zh3sJFiDt9Br1lJegI8kOL3ybIH+VhkFcgf4ePkpGmNSmKnkMcsg3iTW5QP32CXnIDZt+9h/XrLTB/wQJEkhaxvr5e847JD5fxZ+hAXVzcYRisNYS3rx+ellcALc2QHT6EZn9vdF2+yB7mnLf5KBlp1k132jW2VEoWHQnZ86e4mZMDGwdHLCRPwl27dqFhWDbGZIfLOAQNTysqKmFhaYVFi5ewKvGyPiUr5ygjErYE+kJ6KArKmqk7J/0+PkrGAYkYXUePoDN4K0TH4pF1JhFO7u6YM38BwsMjIBRMvV1tuYxD0JQ4um51xcpVcPfwZLWPKDQsleflQrxtC8RbfaEo5tXjhvNRMqpJB7wrIhTCzR7ICN+FDSYmmE+egmEREazi9FSEyzhEeno6Vq9Zg/UWlrhxIx3Kfs10l1qNvupXEG8PQJOdJXoL3i71yPnYMLWxAQ2b3HF+9g+wX7GCiLgYQcHb2fKoqQqXcYi0tDTY2NoiPiHhnTQ52r0RhwajYc0y9NzJ0hzlvOajZOypqUamuTHW/9//jZnffIPQvftQXV0z6ZK/xwOXcQg6aHf//v2RH8zk/mjdE4b6pfPQlXpFc1AfGGRpfXSlkZrc4uwuJz/L0LFBdkwbfJSMjc+fI2jBPCz7x3/AtqAgFL+cmqHpm3AZh6ADOKNVcZDGRqORtIy0CsCgvqRH9suhENegobIEpVV1qGtth7hFCGFVBaobW9HcQ35uLQg5fhkH1ajLuYddi+YjwtwUryorNSemNlzGsdF7/gyk9laQJZ7Un8XGShnkgkI8TjmKxPgEnH9QgBsPHyP7ciYeFNaitov4+iVkVCt6Ic1Mx9P1xqgI2YYBOd/ghMJlHBtdV1IgcHWAJO4Q+vSl4vigCqreWhSd3YVY9/XwPXQEAYnZOHnqLgrLROgY0ISuE2TcMqqkbZCRX2iHqz0UcdHkkcDzDClcxrGRfewoIhbOQ5qXO9roYmO9+V31oLU4CZl77OBk7Q7LwCScetCA+q5eaOsnGLeM/YJGdJ5LRIvXRnSeOAr0Td5lUeOByzg6yv5+PC8qgoujI+b9278gZr0ZxLezaSdTc4UeMFgJwa3d2LbWGKb2UYgp6UajFhv2cctI54raiYTNdA0jif95xa8huIyj87yoGG6eXpg1bRrc587GHS83yO8SGfVpl+OuKghv7ccxX2OYOQTA8VgJchvfP1g1XsYvY1kp2g/HoCXAj8T/l7iMGriM76ewsBA+WwMwZ8FCOK9YgdveHmjZuR3KrAy66FFzlQ6j6oaytQRPb17HpWMJSL+8C2FBrjBY4w//uBzkCxXo1kILOW4ZFS+eQxodCXFwALpvpL61f7uCiCkUCiEQCNA3xSTlMr4LneYoL6+Aj48P5i1ags1+/sg5cRxtsdHo3BmM7isp+jG9oRRDXn0dV86cQ/SpHDx/VYDHl8IRbGwOx8DTOP6iEy1aiLbHLWNv4WO0Re2BOHQbuumTTXPj0VX8tPrb1oAAlp9KhZxKcBnfhVYC9PX1Y8vpPDf74GFBAeQV5eg9eQxt27ag8+IFIqMeLKVSyTHQWYuaqmqU1EjR1dcDeXM5yu/fwYMnlSiTKCH/Ei1j76N8SPaFQ7xrO/ru32XHaDn37OxsODk7Y/GSJQgLC0NTUxM7N1XgMr5NaUkJgoK2Ye68eXBxcUX+o0cYoL+XZhEb+KNLqTovnNUPGT8T45ZRnv8Qkj270BoeClX+A/T19CDv6VNsdHPDrNmzsX3HDtTW1LAQZSrBZRyC1k6liwUCSIRE17XS++Lu3Xt/rqk6UF+HDiIjXWTccfY01HyR8Z8Zt4w9eQ8g3RuGrr3hkN3JRn5uLly8vDBv3nwEBwejpLRUc+XUgss4BN3vf/v27ViwcBHs7R2IiHfRQx7Yr6El/ztOHWMVBTvOnGQb7HKGGP8ATkEeOiP3QkxaxqzwMHi5uWP+0mWsbzBVl09RuIxD5D3MwyZvb2z28UHWrVvv5Kn219agk8go9t+EzrOn9FZGGvlJJBKUlpVpbbXSuGUcKHyM5n27ccfdFc4L5uOnH2cicEcIK1Q82fbPGA9Uxo0b3RAbG6s5MjWRiCV48uQJXr16NWLCuIrI2HXyKNt7ozv5HLFTD6Y2RoDOFtApm3379rEypNoo0j1+GZ8V4sEWXzjM+B6zvv2WtYjPiviqbSqjh4cnTp6kdUE570UkRPeJBDRv9UVv6lXNQf2Erte8dPkS6Z5tZ1LeIpGAVCrVnB0/45ZR+eIZbvlugtlX/wk3OzuUlZVrzkxt6FNy3TpjODk5sW3vcnJypuSLrmXMzc3Fffoif399/MGDB3j0+DHuXjiPK+4bkWK4BjcCt+JeVhbuvvF+fXrdvXcPpxMTYWFhia+++iMMDY1YBX26ObBKNf4ocdwy9pWV4NX+3Ui3Wo+CI3Ho56NhjMePn+BHErL/4he/wB+//hOmffPtlHx98+13+Pa76exP9v+vj03/HtO/n4HvyE077//9P5j949/D8F//BdOnTcNX00b+Wrr8oj/Td+Rn+vpP0/Crv/07/I//+b/wy7/5Fezs7cnD6AEUivEnvYy/ZayuQieJ+dsDfKC4fFGPsu4/LbQQ0/7ISDg6OsKWRAx0JJG/HODg6AQPT08YkFbjL37xV/jv//W/Ycav/ha+P36P0HVGcCI3r80I79P1lwP5nK2tbdkswt/+3d/jL8lD+KdZs1it4JKS0lEXWL+PccvYL2hgu9DSeqldp47TnqzmzNSGlhyho6h0Po127vmrj404qlRDo45nzl/AUlov6Xe/w8FVK1EWGgzFw1z0yXtGfK+uv2jGWUNDI06cOIkNG6yJmNY4c+YM+1k/diBz/AM4rRJ0XUqGyMUB7bEH3ztpq1SSm1KhYB/IVB5l5QxVjLN33QhLcsNGb7BCqYcreo8eBkiUpc/U1dfj7LlzSEg4ikePHqGtrU1z5uMYt4xqeS9kGTcgtFkPScRO8v/vzhPRbcJPnjzF9lpobm7mMk5R6I7Vly9fxrp167BsrSHijiTgZWw02je7Q348HspXREY9vTfk5L6n0zc5Ofe1Nog5bhlpVaye+/fQaLYWLQG+UMve3pORjiTFxMRiwcKF8PH1RXV19ZSuGjdVoWEc3QBpnbEJli1fjphjx9EobELfpSS02FuxLBxaDFtfofc0jfpo31Bbjc34ZST0Pi1Eg+EKiDxcoO78eVvoVtJMR0VFYfHiJTA1M2fDvPTpyJla0H7z5ctXYGa+HkuWLsO+/fvRIBSyc4rTxyEwWoWOc3xh+nA+Ssa+8jIIzAzR7OoAiFvYsSaRCEfiE8gvfykMDQ1x9eo1tk8jZ2rRSR7O6RkZMCci0n1X9kVGsujoNa37Itg2gt1XL2uOcF7zUTIqa15B5OYIySY39JcWo6O1FUePH8dC0iKamJqyfsLwatKcyQ0N22iLSAdrLCwtsWTJUkRE7EZtXd2fwzi6zTyrKL5qCWTZvKL4cD5KxgFBI1pDgtAV6IeGixcQu3sPVqxZAyPSPzh37hwPTacg9DOn0ZCVlRUbL9gVFoaXL19qzhLUKigb6lmFCIGVKeR5DzQnOK/5KBnVdBeqhDiUervjsIszls6eg9WGRrh4KWVCuXkc/YUmPQQEBGL5ihVMxIphxa3p6gy6MF28bSua/Tax/T05b/NRMkImQ1/aNSRtWA+j6d/BhPQRE0mLSAdwOFMTWvuIrl44FBPDhvyHLy5XSVvRdfUSWkg01Ra1l2Vycd7m42TsH2CrN266OiF09o9IOhAFsZjvRDuVkZEHdFl5GesjjkR/YwOksQfRvGUzOpPPob+lWXOG85qPk5HOsYiaIAoPxUsTA3Rk3NCceD98rnGKU1uDtq0+bIV/T14u1G+s/ucM8XEyEmiJxs4Y8qRbtQSKlGTN0bfpJ6GKrEfGshWGhy2cqYWK9BFFFsZo3uwBZUMd206N8zYfLSOFJow3Gq5Ee9whqDo7WIv5Gpo0nXnzJqKjD7G1XzSM4Uw9urq7kZ1zHyf8/ZA6fRpqgwOg5psljciEZJTdzoLIyxWtETuhePHsz8upaIpQfn4BbG3tWAYGzWbnCQBTCxoN0f5jyuXLsCL3warf/TsOTvsKNfFxepuP+qmZkIyKkiK0Ru5By9bNkF29RCwcSm96+PAh7GztWfHaHTtCUFRU9FHruzj6CX3wXr9+Ha4enqyO7qqfZiJk4Xzcs7VCR3qa5irOcCYk40ArHa6+DJGTLXoid2NA3IK85y+w0c0dc+fOQ2BgEKsYx1dtTA3o1BYtzUjrwWywtsGKdcZsrV+shRmeO9igPeYA1OVl5Eo+mDcSE5KRhht9tGNua4FGB2s8Tk2Fq/8WzJk3DztCQlBSUsJFnALQEhP1DQ1ISk6GhaUVZvzwI0xMzXA65RIqyT0gDAuB0NwIskvJGOz6eWEB520mJiNB3dIMka8Xkr7/BvYGBli01ghbtgbgBQlNuYiTn1YSHZ2/kARnF1esWr2GJYiHhO5EekYmWmhaZEc7enYEotl0LeQP7vMprlGYsIyDsm7UR0ch4o9/wMLf/hY+m31QTJ6G/Jc+eaEPWaGwiY2SRx04wJZKLVy0iA3YJZPWse11SqRKBUX+Q4g8XdDstRGKYSlynLeZsIyq3l5UX7uCxHVrsWf+HNw/c2ZogxPOpIXWgKFJ4ebrLfDjzJ9gabUBieRzp9u/vTlqrhY0ov3wIYi83dkGuwM862ZUJh6mDgxAWl+H4rBQPF6+CK3nz2rOcCYrdBV/cvJFOLu6IiAwiC2bGmmBgLwgD032Vmj238z29dSLvRi/IBOW8TV040uhwTK2KY5K2sYGd0aCrnOkpTnoPBQPZfUTum6RbnCT++ABJKTPOBKDSiW6LiejYfUSSCJ2Qc3nmT+I1mRUFj5Gq68XxFs2o+dONtSyd7Ms6Jq3ixcv4vTp02z191TeIEbfUZBWjraQI0FT3fqqXqI1ai8EG8zRmXSOz2aMAa3JSIsLdV48jyZnW7aau1/09maptDU8c+YszMzM4O/vz+YfuYyTE5a3nHweIndnSMJD+NrFMaI1GWleal9FOUSuDhBYmqD36RPNCRLCdnez+pKGRuuwcuUqHDlyhJfl0FPoSOnz589ZOc73TV0NSCRoCdpC7gNjdKVdHcpb5nwQ7clIoP2C1t1hEFiQD+H8GUDWjW6ZDMmXLsNo3TosXbYccXFxqK+v56s49JT8ggJW3j4wMJBtAzi830+LWtPdrZvsrNDkYoe+ynL2oOZ8GK3KSAdteu7dQXuQP6SbPdBIQpWUy1dgYmVNRFzGVoELBALNxRx9hG595+TkjDlz57Ktwmne8Zv0vapCa+RuiBytIY2PhYrXQxoz2pWRoGqXQn7hDF6uXoKEJQtgbmGJpYbrEBnFqwHoM7QFpC+a8P+ksBBOzs6YPXs2QkNDWb0btab1k924DsEGU4i3B0BR/IL1HzljQ+syUtpJmHJ1xWKY/OIvsGD+AkTGxqG2tlZzlqNvdHfL0NjYQPr5Q60c7WLcz8nBxo0bMXfefATt2IHqqir0CxrRcWAfGo1Woj3xJNQKvl3gePgkMnYIBUjfGQLvf/8XbCetY1Xhz4M5HP2CZts8ePAQR48exZMnhZqjQ+Tl5cHGzh4LDQwQErQND8J3QuTtBgnppiiePdVcxRkrn0RGmg4nLnqB5462eLFqMTqzMjRnOPoEHS2lEc2ePXuxfr0F28joTehc48P8fDh4bcKcP/wBu//9t3jlbIueW5kY7OaT/OPlk8jIGOhH35mTkNquR/vuXegrLdGcGBka+vT0DO3Vx+uj6AZUNroluoeHJ6ysNrCy/cMZIJ/V9eRk+M+djWP/9htUB/phoFmkOcsZD59ORoKyvARt+3dDaGkKaVw0K+8+EjST487du0hKSkIlHQzgyQA6Ad03IyEhAQ4Ojqx1LCujC4PfRZKRhue2lihxskXrjVSoeVWHj+KTykjzE3vu50BoZcrmnHoLH5Fjb+88RFvCh6TvQbfeNjQyYkWseM6qbkBHv/38t7CFwskXU0bcDJRWl5fuCWM7S0lPJGDgjV3JOOPjk8pIoTsd01aRDXeHBKGvqkJzZqhPcv/+fTg6OWHe/PnYsnUrioqLNWc5XxqanGFsYooVK1eh4NFjliD+JqquLnSeT4TIxgKtPp5Q8rS3CfHJZRxUq9BXXcXmnRrXrkAX6UeChKtK0iIWPH4CT08vzJo9h9XLGS3FivN5oZ/Ds2fPWHU/I6N1qBtWKZxGPfK8XLZEqsnRGj23s/jKjAnyyWWkDKoG0H3jOpodbSHxdkNH2jU8zc+H62YfzJ07H9u372BLcnh4qjt0ErGup6bCYO1aeJEHpkT89i7DitIStO4l4amZIdoO7oeK5xpPmM8iI2VAJIIs6TwaN5jhisEKbHR0wgJjU/j4b33vwADny/GqupqlL9rY2eLQoUNMztfQLKu2Q1EQmK6FZGcwFMVvp8RxPo7PJiNFLRRAQD688N/+M2b/wz/Cx9sHZRU/p1K9D5qCRRcj06F23np+HujC4c0+Ptjk7c1W8veSbgWFbhvfnXoNQlsLEqJugDw3h8a07BxnYnxWGYlJ6Cp8jHRLM+z5zT8jOziIDQKMBl1qRVcK3MzKYqUfaVlAzqcnJSUF64yNERISgoqXL/FaNypfk4M1mmws0H05hfQT+eiptvi8MhLogE57ViZqnezQ5GIPeerV9+5IJCPHadaHm7sHwiMi2Do6OhXC+fTQ0JQWm4qOjka3pnZNX9ELiAP8IDBeg/YjsVB38H6iNvnsMlLUnR3ouZEKkc16ttSmhzxth2f395Cw9FZ2NqxtbDF//gLExMSyVpKHqROH/g7paCl9jfT7pF0COqj23fczcDYpiUU0g6ImSEK2odHYgA3YKF+9sUU4Ryt8ERkp6rZWdMTHQWBuhOZNbpDdv6s5M1Sh+vadu6wEIN2vIzxiN8pKy7iIWoCWOmlqamJlT0Qi0Tt1bPr7B/DyZRV8fHyx0sAQN+/nAk0CdMUeRKOJAVq2+rI9VgZ5lpTW+WIyUpR1tZDGHCBhz2pWyErxrBDtzc3IICI6ubhiHmkR6cY5fEGy9qCtXmpqKuLj4/HgwQNWJOxNurq6kZZ2A55+/vD280Pe1avoO3UMzevXodnXC/KHuWyOkaN9vqiMIP1HZWU5pPt3Q2xlikYfT9w/cQwum7wxh4hI+4m1tXVjahFfh16c0aEpbQEBgbC0tCLSpb2zVV8zeRgeJP1EZ69NOLBjOwr9fdBmbwWJtztk2Vm89ukn5MvKSCHhjrKiHN17wlC6ZjlOG6yEl6UlQiP2oLTqleai0aE3UE7OfTx79vydlC3O2zQ2NrKMGtoPz83NfWervlpy3s3LC+ZLluC8tSXKDVeh1dMF8uybUPG800/Kl5dRw0BxEWpCg3F18Txc27AeVSSUUo5h3/ey8jIcjj+CbduC2Z6AfLT1/dD+Ik1xW75iBcusoemHw3lWUYklqw2w4ld/g+wl89Gy2QPy9FTSIvJV+58anZGRWARZ0XPU7NqOl6QP2eK7CX2PCzQnR4a2iLvCwtimK76kf1NY+JSHqqPQ0dGOa9euYd06Y5YTTGvZvgXpDWRn3cLMGT/A6K/+EmWOtuinOae81OJnQXdkpJB+n6q0GF17wyGyNEELHWW9mT7iOsiGhga2xm7x4iUwX78eV8lNNnwwgvM2VVUvceDgQdg7OLBUt9c1bV6jePoEdzZ5YNO303BwnSGkdJdhWbfmLOdTo1syauh/VYX2uEMQmBhA5GwHWUYaW4r1GjokH0Nupnnz5sPCwhK3bmWzQskfgvaP6HVTtV9J+4iepD/o7e2NjJs30asc+j2o5T1QPH8KyY4glK1einxne7y6kQoVHzX9rOikjLTsBp326Dh9AkIbCwhJK9lxLJ7GpWiVSBAZfQiLSItotcGatYiyEfb1GA4dbX1S+AQ30tPRRGSeiqSkXMIaAwME79iBqtraoRS3fiVkWRkQuTlBYGoAScRO9BQ8hIrXsPns6KSMr1G1taIz6SyanW0hsbXAi+BARIaGYqn5ehjb2OJaRgZLmfsQPT1yZN26xSaytwUHo7JyamaPxMTG4vuZP+HA0aOQk+hAXV+L7nOJQ1syrDdG277dbGSb82XQaRkptL/Yl/cAXQG+uPDt11j+m1/DeMUKXDp9Cu0jlIEYDh1dvXPnLkurW7JkKetn1tc3aM7qJzTcpv1jsVjM6tSMZdCKpheGhodj+o8zcer4cahrqiGLj4XA2ABCzU5RrJAUHwD7Yui8jAwi1ADp0xQEbcXe76bhxPQ/oSZsB7mhPjwPmU36k7Sg0oIFi9j+EHQRM61Cp8/Q7fToqooTx0+w+kHD5wqH0z8wgIqXVdgSuhOryAPpgqszuoL8WbTR4u+N7vRUDIiHjaxyPjv6IaOG3sYGCEnfUeBkA7G9JdrCQ1h/p3+EdDma9vXw4UM4OjqxCW46D0n3iRgr9AaXyWQ6uUFPVlYWXF03wmuTNwu/PyRjNwlJqbwOpqZw+n46UhfNZVk1tIRm75NHmqs4Xxq9kpFOhA12dbH5R3ojCYxWsspzdL94ujknuSuHpkdUajwgIm50c8eChYuwNSAApaWlYxaLilxUVIxHjx6Na7qETqrTBdD0/WPZe5ImadN0tPEumj516hTbWi905y6W8D1qmEp+ZhG5Zq/3Jlj8y2+w66v/wGPSR1SkXYOqScjzTHUIPZNRA7nR+4qL0H48Hi3e7kP7xnu6ovfcaXSQcPZ21i24bfbB/CXL4Ou/lbWIY73ZaWt4/34udu0KY5v1DC/E9D7o+woKHuHChSRkZGay/tyHoC33cRJq3r17d8QyiO+D5uxO/34GEhKOvnf3YIpKKoWChKDlPl7YO30agn/8HrdIqC++dweDfCJf59BPGTXQp3pv/kO07gyG0HQt2pxtURToDz8jQyyY+RO8PTzxlLRw44HW46GjrnQ/SZowPdYVIy9fvoSf3xZs2GCN04mJbC70Q0RGRmHZsuU4fPjIu9kwI0AfKLSl9vPzx4wffsSVYeX2KYOkJewXCiAvyEPHyeNo89qISqNVyLQ0Q87hGLRWv+I7eusoei0jha4i6G+oZ4nMYtKHvL1yKdx//c/wmjcHDxLi0dfSrLlybNC+1ezZc1hfk4a2Y811pcuS6I5M1tY27H0f6sfR87TGzDfffovz589/8HoK/V5otQM6cW9M+n85ubmaM0Ooye9CUVoM6ZFYCEm00EgkpJFDe9JZdJQUQ97WyrdO0GH0XsY/oxqA7FkhKsjT/5qbK7IdbNDs543uPbvQef4MFEUkVP2AWLRVpP3LhaSfSVursea5VlRUsPnLRYsXs9D2Q2LRrysQCOHs4sIEvn3ntubM6NBKB/RhsdHDAwE7d6KsYWiKZkDQiO70NLQe2IdmX080kQiBhu2t+yLQfSsT6nYpu46j20weGTXQFej9tTXoOnsaLR6uEBiuhNDOcujGJDcsXaXeL2yEmqbPvdGPlMnlLG9zraERtu8IIS3Q2EZeaWtFJ9NpZkvQtm0oLHx727SRoFMrdMmXk7MLbO3s8fTZM82Z0WkgoWxoeARsrK0Rv38fanLuQfm4AF0nj0FEwtHGdash3GCGtr3h6CVhquo9e5twdJNJJ+OfkYhZAaWuq5eIiOEQuTuzshFCazO0RuwcmhJprNdcDJSUl7NdlhcvXYas7Gz0jqEKHe3D0b6iDa3Ts2ABW6wrH2VA5TV0tcmJEyfhTGQMI3JVj7CUaSTKXlXDivxbZuTfuubugmpH0gKuXweR/QaIg7eiI/EkW4mvJA8jvuRJ/5i8Mmqg1cwV5aXovHAW4m1b0ORqD5GHC1q2bIY0bAdkCXEoPpaACBKeLl60GN6bvNHUNrawjkoVd/gwVq1azfpxY92dme60tTUgEM6uG3HxylW0va9cJZF9gPR5+148Y6Oi+aHbseE/fgePr/6AJw62aHFzhsTHE+0kNKclFPn++frNpJeRQW5qOvJK1+UpykrQlZIEcaA/mq1MIDFcgeQ5P8H86z/CcdFCpIWHoaPwCZuDGxCLWdl6tUxG+psKNqXyGtqbvHXnLozMzGHj5ITbubks33Ms5D99hnXkfTRMLXz8BH3k66vp3GRnJ1StrRgQNbH9SeT5D9GZcgFSEmJLNzrgyYpFiPlxOi6Ym6D5SBz6aSjaLBrqC49hXpOj20wNGd+EtjbiFrZkSH47C/ILZ3DPzwfhy5bgzLLFqDA3QpOlCUQu9qw0YTtpObuuX4E87wGUVZWAVApVrxxCoRB7ow7ip4WLEXbgAGTjkOHGvXuYPms2nG1sIHpaCHVpCWS3MtFx5iRa90agmfT/BFam7NXk5shqlbbvDUPL8XjUpl1Hc0E++utJiM3r0Uwqpp6MwyFySsrLUJJ0AXWHoiDdEchWidDy9aKNjmgmYaB421ZIwkIgjdyLXiKniISFp7f4w3T2bJj8/ne47O0JZfZNyLMy0XPrJnqys9iuTPRPGTkmy0yHLO0aq8DdQcLlJDcXLPrbXyFo9ixIovZCfjCSiU9DZxpC0yQG+u83e7uxGqXd5GFApyxAWlDO5IXLSKBTDareXjbCOtguRT8JURXFL4Zaq3On0XZgH8RBW9Ds5oR2a3OUr16K4G++xvrf/gaHvv4Dnq1YjGZyvNnOku0/0eRogyYn8iJ/Cu2IWBvWQ2hmiMY1y1CzaDbSv/sau//zd7i4cC5ERPx2ImHr7l0so4iKJ3+czwZh6IJqFQmt1aQlppP5nMkNl3EU6H6D/Y0N6COtkjz/AZOz99plSM6T0PbIYWTGxaLqWDzajsRASoSVklaudf8eNo3CXvt3oy1yD9qiyLkD+yElLW8bLQZM3lOVfAHCa1fQk3EDvTl3oXj2FMqaaraGkxcInppwGScKabGotAMtLegn/UhlQz1r1ZS11axaQb+gka0TVEnbWAvH4bwPLqM2If1PtjiXvmjrRv+kxzicMcBl5HB0BC4jh6MjcBk5HB2By8jh6AhcRg5HR+Aycjg6ApeRw9ERuIwcjo7AZeRwdAQuI4ejI3AZORwdgcvI4egIXEYOR0fgMnI4OgKXkcPREbiMHI6OwGXkcHQELiOHoyNwGTkcHYHLyOHoCFxGDkdH4DJyODoCl5HD0RG4jByOjsBl5HB0BC4jh6MjcBk5HJ0A+P8RUiWBoR8X6QAAAABJRU5ErkJggg==)
- (0.8a,0.6a)
- (0.6a,0.8a)
The correct answer is: ![open parentheses fraction numerator a over denominator square root of 2 end fraction comma fraction numerator a over denominator square root of 2 end fraction close parentheses](data:image/png;base64,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)
Related Questions to study
Maths-
If
then principal values of '
' are
If
then principal values of '
' are
Maths-General
Maths-
If
and
is in the first quadrant then
=....
If
and
is in the first quadrant then
=....
Maths-General
Maths-
If
and
lies in
then
=
If
and
lies in
then
=
Maths-General
Maths-
If , then
he principal value of
is
If , then
he principal value of
is
Maths-General
maths-
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
maths-General
Maths-
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,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)
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,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)
Maths-General
Maths-
The value of is equal to
The value of is equal to
Maths-General
Maths-
If
and
then the value of
is equal to
If
and
then the value of
is equal to
Maths-General
Maths-
If
Then the roots of the equation
are
If
Then the roots of the equation
are
Maths-General
Maths-
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
Maths-General
Maths-
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
Maths-General
Maths-
If
then
If
then
Maths-General
Maths-
The sum of the series, upto n terms, is
The sum of the series, upto n terms, is
Maths-General
Maths-
In a triangle
In a triangle
Maths-General
Maths-
The value of
is
The value of
is
Maths-General