Home Maths Circle and System of Circles Tangent and Normal To a Circle The locus of a point which moves so that the…
Maths Circle and System of Circles Tangent and Normal To a Circle Single Correct MCQ
Published on: August 14, 2026

The locus of a point which moves so that the ratio of the length of the tangents to the circles and is 2:3 is

A
B
C
D

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The correct answer is:
D

Let the point be

According to question,

Squaring both sides,

⇒ ⇒

⇒ ⇒

Hence, locus is .

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