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.

Question

campbell_st · Answer

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

anonymous · Answer

The acute angle

campbell_st · Answer

well its interesting as the ellipse is inside the circle.

anonymous · Answer

The tangent need not be a tangent to the circle

campbell_st · Answer

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?

campbell_st · Answer

yes I understand the question.

anonymous · Answer

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

anonymous · Answer

@Abhishek619  Thanks. The anwer is 90 degrees

anonymous · Answer

yes!