Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider an ellipse 
+ 
= 1 (a > b).
Let P (a cos θ , b sin θ ) be any point on the ellipse in the first quadrant at which tangent is drawn which meets the major axis and minor axis at A and B respectively. Let SR and S ′ R ′ are perpendicular drawn from foci S and S ′ on this tangent where R and R ′ are feet of perpendiculars. O is the centre of ellipse. Now answer the following questions.
(i) The minimum area of triangle OAB is equal to-
A
ab 2a (a2/3 + b2/3)3/2
B
2b (a3/2 + b3/2)2/3
C
a2 a + b (a2 + b2)1/2
D
b2 (ii) Minimum value of AB is equal to – a – b (iii) The minimum value of OA + OB is equal to- None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Ans.
(i)
Sol. ab
(ii)
Sol .a + b
(iii)
Sol. (a2/3 + b2/3)3/2
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