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Home / Doubts and Solutions/JEE/Mathematics

Dear Sir/Ma'am pl tell question no 19

Asked by neeraj.unnao 18th October 2017, 5:59 PM
Answered by Expert
Answer:
begin mathsize 12px style G i v e n space e q u a t i o n space i s space y squared space equals space 4 a left parenthesis x plus a right parenthesis semicolon i f space w e space d i f f e r e n t i a t e space a b o v e space e q u a t i o n space 2 y fraction numerator d y over denominator d x end fraction equals space 4 a semicolon i f space fraction numerator d y over denominator d x end fraction space equals space y subscript 1 space comma space t h e n space y subscript 1 space equals space fraction numerator 2 a over denominator y end fraction y left parenthesis 1 minus y subscript 1 superscript 2 right parenthesis space equals space y space open square brackets 1 minus fraction numerator 4 a squared over denominator y squared end fraction close square brackets space equals space fraction numerator open parentheses y squared minus 4 a squared close parentheses over denominator y end fraction space space equals fraction numerator 4 a x over denominator y end fraction space space left parenthesis space a s space p e r space t h e space g i v e space e q u t i o n right parenthesis space H e n c e space y left parenthesis 1 minus y subscript 1 superscript 2 right parenthesis space equals space fraction numerator 4 a x over denominator y end fraction space........................ left parenthesis A right parenthesis n o w space 2 x y subscript 1 space equals space 2 x fraction numerator 2 a over denominator y end fraction space equals space fraction numerator 4 a x over denominator y end fraction space...................... left parenthesis B right parenthesis f r o m space r e l a t i o n s space left parenthesis A right parenthesis space a n d space left parenthesis B right parenthesis comma space y left parenthesis 1 minus y subscript 1 superscript 2 right parenthesis space equals space 2 x y subscript 1 end style
Answered by Expert 14th December 2017, 5:07 PM
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