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a circle Xsquare+Ysquare=25  find the locus of point P if it divides point A and point P in 2:3 raio Q lies on circle coordinate of A is (2,1)

Asked by mridulsharma266 7th November 2017, 11:28 AM
Answered by Expert
N o w space c l e a r l y space A minus Q minus P space a n d space Q space l i e s space o n space t h e space c i r c l e space
S o space t a k i n g space p a r a m e t r i c space p o i n t space o n space c i r c l e space
Q space equals space open parentheses 5 space cos space theta comma space 5 space sin space theta close parentheses
A space equals open parentheses 2 comma 1 close parentheses
l e t space P space equals open parentheses x comma y close parentheses
s o space a p p l y i n g space s e c t i o n space f o r m u l a space f o r space i n t e r n a l space d i v i s i o n
5 space cos theta space equals fraction numerator 2 x space plus space 6 over denominator 5 end fraction
5 space sin theta space equals fraction numerator 2 y space plus space 3 over denominator 5 end fraction
s u b s i t u t e space i n space cos squared theta space plus space sin squared theta space equals space 1 space t o space g e t space l o c u s.
Answered by Expert 11th December 2017, 2:16 PM
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