The tangents are drawn from the point ( $4, 5$ ) to the circle $x^{2} + y^{2} - 4 x - 2 y - 11 = 0$ . The area of
quadrilateral formed by these tangents and radii, is

Question

The tangents are drawn from the point ( 4 ,5) to the circle x^2+y^2-4x-2y-11=0. The area of quadrilateral formed by these tangents and radii, is

Accepted Answer

Correct answer: 8. 8JEE Main 2020 Length of each tangent L=2 r= 2^2+1^2- (-11 ) r=4 Area =L r=8 sq. units.

$The tangents are drawn from the point (4, 5) to the circle x^{2} + y^{2} - 4 x - 2 y - 11 = 0 . The area of quadrilateral formed by these tangents and radii, is$