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Home / Doubts and Solutions/JEE/Mathematics

3 ques

Asked by rbhatt16 13th November 2017, 10:44 PM
Answered by Expert
Answer:
begin mathsize 16px style general space normal space equation space to space ellipse ax over cosθ minus by over sinθ equals straight a squared minus straight b squared......... left parenthesis 1 right parenthesis mid space pt space of space QR rightwards arrow open parentheses straight x comma straight y close parentheses..... Say so space straight Q left parenthesis 0 comma 2 straight y right parenthesis space & space straight R left parenthesis 2 straight x comma 0 right parenthesis sub space in space left parenthesis 1 right parenthesis sinθ equals fraction numerator negative 2 by over denominator straight a squared minus straight b squared end fraction cosθ equals fraction numerator 2 ax over denominator straight a squared minus straight b squared end fraction sin squared straight theta space plus space cos squared straight theta space equals space 1 space thus space we space get space straight x squared over open parentheses begin display style fraction numerator straight a squared minus straight b squared over denominator 2 straight a end fraction end style close parentheses squared plus straight y squared over open parentheses begin display style fraction numerator straight a squared minus straight b squared over denominator 2 straight b end fraction end style close parentheses squared equals 1 eccentricity space of space this space conic space is straight e apostrophe equals square root of 1 minus open parentheses fraction numerator straight a squared minus straight b squared over denominator 2 straight b end fraction close parentheses squared over open parentheses fraction numerator straight a squared minus straight b squared over denominator 2 straight a end fraction close parentheses squared end root equals square root of 1 minus straight a squared over straight b squared end root equals straight e so space options space given space is space wrong space here space eccentricity space will space be space same space the space original space ellipse end style
Answered by Expert 7th December 2017, 2:21 PM
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