The locus of point of intersection of the tangents to the circle x^2+y^2=16, such that the angle between them is 60°, is

MHT CET 2025 Mathematics question

The locus of point of intersection of the tangents to the circle , such that the angle between them is 60°, is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Let P be the point of intersection with , where O is the centre and the radius is . Each tangent makes an angle with OP, so . So , i.e. the locus is .

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Question ID VK-101841