Home Maths Conic Sections NTA Abhiyas Question - Parabola The length of the focal chord of the parabol…
Maths Conic Sections NTA Abhiyas Question - Parabola Single Correct MCQ
Published on: August 14, 2026

The length of the focal chord of the parabola y 2 = 4x at a distance of 0.4 units from the origin is

A
22 units
B
23 units
C
24 units
D
25 units

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Text Solution

Verified by Experts
The correct answer is:
D

25 units

Let, PQ is a focal chord and S is the focus

Now, OS = I

In OSR (R is the foot of the perpendicular from O on PQ)

Length of PQ is equal to the length of latus rectum xcosec 2

PQ = 4(2.5) 2 = 4 x 6.25 = 25

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