Question

The line passing through the extremity a of the major axis and extremity b of the minor axis of the ellipse x2 + 9y2 = 9 meets its auxiliary circle at the point m. Then the area of the triangle with vertices at a, m, and o (the origin) is

Answer 1

Answer:

Correct option is

C

l≤

4

3

C

1

:x

2

+y

2

=25 and C

2

:x

2

+y

2

=16

Let any point on C

1

be (5cosθ,5sinθ)

Then length of tangent is given by

S

11

=

cos

2

θ+

16

25sin

2

θ

−1

=

4

3∣sinθ∣

≤