Question

TP and TQ are tangents to parabola $y^2=4 x$ and normal at $P$ and $Q$ intersect at a point $R$ on the curve. The locus of the centrc of the circle circumscribing $\triangle TPQ$ is a parabola whose

• A. vertex is $(1,0)$
• B. foot of directrix is $\left(\frac{7}{8}, 0\right)$
• C. length of latus-rectum is $\frac{1}{4}$
• D. focus is $\left(\frac{9}{8}, 0\right)$

Answer 1

Answer: (A), (B), (C)

Correct answer is (a) vertex is $(1,0)$Correct answer is (b) foot of directrix is $\left(\frac{7}{8}, 0\right)$Correct answer is (c) length of latus-rectum is $\frac{1}{4}$