TP and TQ are tangents to parabola y2=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

Question

TP and TQ are tangents to parabola y2=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 ((7/8), 0) (C) length of latus-rectum is (1/4) (D) focus is ((9/8), 0)

Tardigrade Admin · Accepted Answer

Correct answer is (a) vertex is (1,0)Correct answer is (b) foot of directrix is ((7/8), 0)Correct answer is (c) length of latus-rectum is (1/4)

Q. 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 $△ TPQ$ is a parabola whose

vertex is $(1, 0)$

foot of directrix is $(\frac{7}{8}, 0)$

length of latus-rectum is $\frac{1}{4}$

focus is $(\frac{9}{8}, 0)$

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

Q. TP and TQ are tangents to parabola y2=4x and normal at P and Q intersect at a point R on the curve. The locus of the centrc of the circle circumscribing △TPQ is a parabola whose

vertex is (1,0)

foot of directrix is (87​,0)

length of latus-rectum is 41​

focus is (89​,0)