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CBSE Class 11-science Answered

If space p space i s space t h e space l e n g t h space o f space p e r p e n d i c u l a r space d r a w n space f r o m space o r i g i n space t o space l i n e space x over a plus y over b space equals space 1 space a n d space a squared comma p squared comma b squared space a r e space i n space A. P. space comma space t h e n space p r o v e space t h a t space a to the power of 4 plus b to the power of 4 space equals space 0 space.
Asked by manish.kkd4 | 20 Feb, 2019, 12:20: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x over straight a plus straight y over straight b equals 1 Perpendicular space distance space from space the space origin space to space the space line straight p equals fraction numerator negative 1 over denominator square root of begin display style 1 over straight a squared plus 1 over straight b squared end style end root end fraction straight p squared equals fraction numerator 1 over denominator 1 over straight a squared plus 1 over straight b squared end fraction fraction numerator begin display style 1 end style over denominator begin display style straight a squared end style end fraction plus fraction numerator begin display style 1 end style over denominator begin display style straight b squared end style end fraction equals 1 over straight p squared space space space.... left parenthesis straight i right parenthesis As space straight a squared comma straight p squared space and space straight b squared space are space in space straight A. space straight P. 2 straight p squared equals straight a squared plus straight b squared straight p squared equals fraction numerator straight a squared plus straight b squared over denominator 2 end fraction space space.... left parenthesis ii right parenthesis Substitute space in space left parenthesis straight i right parenthesis space 1 over straight a squared plus 1 over straight b squared equals fraction numerator 1 over denominator fraction numerator straight a squared plus straight b squared over denominator 2 end fraction end fraction fraction numerator straight a squared plus straight b squared over denominator straight a squared straight b squared end fraction equals fraction numerator 2 over denominator straight a squared plus straight b squared end fraction open parentheses straight a squared plus straight b squared close parentheses squared equals 2 straight a squared straight b squared straight a to the power of 4 plus 2 straight a squared straight b squared plus straight b to the power of 4 equals 2 straight a squared straight b squared straight a to the power of 4 plus straight b to the power of 4 equals 0 end style
Answered by Sneha shidid | 20 Feb, 2019, 01:01: PM

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CBSE 11-science - Maths
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