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CBSE Class 10 Answered

If x.cosA/a + ysinA/b = 1 and x.sinA/a - y.cosA/b = 1,prove that x^2/a^2 + y^2/b^2 =2.
Asked by hsradha75 | 03 Mar, 2019, 09:29: PM
answered-by-expert Expert Answer
begin mathsize 12px style open parentheses x over a close parentheses cos A space plus space open parentheses y over b close parentheses sin A space equals 1 space space..................... left parenthesis 1 right parenthesis
open parentheses x over a close parentheses sin A space minus open parentheses y over b close parentheses cos A space equals space 1 space...................... left parenthesis 2 right parenthesis

B y space s q u a r i n g space left parenthesis 1 right parenthesis comma space space open parentheses x over a close parentheses squared cos squared A space plus space open parentheses y over b close parentheses squared sin squared A space plus space 2 open parentheses x over a close parentheses space open parentheses y over b close parentheses cos A space sin A equals 1 space space space............. left parenthesis 3 right parenthesis
B y space s q u a r i n g space left parenthesis 2 right parenthesis comma space space open parentheses x over a close parentheses squared sin squared A space plus space open parentheses y over b close parentheses squared cos squared A space minus space 2 open parentheses x over a close parentheses space open parentheses y over b close parentheses cos A space sin A equals 1 space.............. left parenthesis 4 right parenthesis

B y space a d d i n g space left parenthesis 3 right parenthesis space a n d space left parenthesis 4 right parenthesis space comma space space w e space g e t comma space space open parentheses x over a close parentheses squared space plus space open parentheses y over b close parentheses squared space equals space 2 end style
Answered by Thiyagarajan K | 03 Mar, 2019, 11:54: PM
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