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Question : 59 of 160
Marks:
+1,
-0
Solution:
Given, equation of ellipse is
‌+‌=1 Here, coordinate of
P is
(a‌cos‌θ,bsin‌θ) and coordinate of
Q is
(a‌cos(‌+θ),bsin‌(‌+θ)) =(−asin‌θ,b‌cos‌θ) Let
R(h,k) be the mid-point of
PQ.
‌∴‌‌‌+‌=2⇒‌+‌=‌ ∴ Locus of mid-point of
PQ is
‌‌+‌=‌⇒‌+‌=1‌‌=‌=√2
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