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JEE Mathematics · Medium

Parabola: Chord of contact MCQ

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Chord of contactMediumQuestion 390006

Question

From external point (h, k) to y² = 4ax, the chord of contact is:
  1. A
    ky = 2a(x + h)
    Correct
  2. B
    ky = 2ax + h
  3. C
    y = kx + h
  4. D
    ky = 2ah + x

Correct answer

ky = 2a(x + h)

Explanation

Chord of contact from (h,k) to y²=4ax: T = 0 → ky = 2a(x + h). This is the equation of the chord joining the two points of tangency.

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