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Maths Conic Sections Parabola Single Correct MCQ
Published on: August 14, 2026

Let y 2 = 4ax be parabola and PQ be a focal chord of parabola. Let T be the point of intersection of tangents at P and Q. Then

A
Area of circumcircle of Δ PQT is
B
Orthocenter of Δ PQT will lie on tangent at vertex.
C
Incenter of Δ PQT will be vertex of parabola.
D
Incentre of Δ PQT will lie on directrix of parabola.

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Text Solution

Verified by Experts
The correct answer is:
A

for focal chord t 1 t 2 = – 1

Tangent drawn at the extremities of focal chord are perpendicular and meet at directrix

∠ PTQ = 90 0

Hence PQ is diameter of circum circle of Δ PTQ.

2r = PQ ⇒ r = (PQ/2)

Area of circum circle π r 2 =

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