Question

The area of the quadrilateral formed by the tangents at the end points of latusrectum to the ellipse x2/9 + y2/5 = 1 is

(a) 27/4 sq unit

(b) 9 sq unit

(c) 27/2 sq unit

(d ) 27 sq unit

Answer 1

Correct option: (d ) 27 sq unit

Given, x2/9 + y2/5 = 1

To find tangents at the end points of latus **, we find ae.

So, area is four times the area of the right angled triangle formed by the tangent and axes in the 1st quadrant.