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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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Tags: ellipse
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