Question

The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at P. If θ varies, the locus of P is

• A. a pair of straight lines
• B. a circle
• C. a straight line
• D. None of these

Hint:

Parametric form often leads to circular loci.

Answer 1

The Correct Option is B

Step 1: Coordinates of P: ((2·10cosθ+3·5)/(5),(2·10sinθ)/(5))
Step 2: Eliminating θ gives a circle.