Home Maths Conic Sections NTA Abhiyas Question - Parabola The equation of parabola which cuts the para…
Maths Conic Sections NTA Abhiyas Question - Parabola Single Correct MCQ
Published on: August 14, 2026

The equation of parabola which cuts the parabola y 2 = 4bx orthogonally having the same axis and length of latus rectum as 8b, is

A
y 2 = -86 (x– 8b)
B
y 2 = -8b(x – 4b)
C
y 2 = -8b (x –32b)
D
y 2 = -8b (x –3b)

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The correct answer is:
D

y 2 = -86(x-3b)

Focus of parabola y 2 = 4bx is (b, 0)

Focus of parabola in option is (6b, 0)

Focus of parabola in option is (2b, 0)

Focus of parabola in option is (30b, 0)

Focus of parabola in option is (b, 0)

Hence, option is correct

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