Question

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

• A. Vertex is $(1,0)$.
• B. Foot of directrix is $(\frac{7}{8},0)$
• C. Length of latus-rectum is $\frac{1}{4}$.
• D. Focus is $(\frac{9}{8},0)$

Answer 1

Answer: (A), (B), (D)

The correct options are
A Vertex is $(1,0)$.
B Foot of directrix is $(\frac{7}{8},0)$
D Focus is $(\frac{9}{8},0)$