Question

The locus of a point P which divides the line joining (1, 0) and (2 cosq, 2sinq) internally in the ratio 2 : 3 for all q, is a-

• A. Straight line
• B. Circle
• C. Pair of straight line
• D. Parabola

Answer 1

Answer: (B)

Circle

Answer 2

Ž x = $\frac{4\cos\theta + 3}{5}$, y = $\frac{4\sin\theta}{5}$

cos²q + sin² q = 1

Ž $\left( \frac{5x - 3}{4} \right)^{2}$+$\left( \frac{5y}{4} \right)^{2}$= 1 Ž circle