Question

Tangents are drawn from a point on the circle x^2 + y^2 = 25 to the ellipse 9x^2 + 16y^2 - 144 = 0. Find the angle between the tangents.

Answer 1

which angle do you want, the obtuse or acute..?

Answer 2

The acute angle

Answer 3

well its interesting as the ellipse is inside the circle.

Answer 4

The tangent need not be a tangent to the circle

Answer 5

won't you have a case where the angle between the tangents to the ellipse will vary as the common point on the circle moves around the circle?

Answer 6

yes I understand the question.

Answer 7

hint- the given circle is the director circle of the given ellipse.

Answer 8

@Abhishek619 Thanks. The anwer is 90 degrees

Answer 9

yes!