Home Maths Conic Sections Parabola If the line is a tangent to the parabola ,…
Maths Conic Sections Parabola Single Correct MCQ
Published on: August 14, 2026

If the line is a tangent to the parabola , then locus of its point of contact is

A
A straight line
B
A circle
C
A parabola
D
Two straight lines

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Text Solution

Verified by Experts
The correct answer is:
C

Equation of tangent to parabola

.....(i)

Clearly, is also a chord of contact of tangents.

Therefore and represents the same line.

Hence, ⇒ ⇒

Eliminating t , we get, i.e. , an equation of parabola.

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