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Question 390004
JEE Mathematics · Medium

Parabola: Tangent to parabola MCQ

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Tangent to parabolaMediumQuestion 390004

Question

The tangent to y² = 4ax at point (at², 2at) is:
  1. A
    ty = x + at²
    Correct
  2. B
    y = tx + at²
  3. C
    ty = x − at²
  4. D
    y = t(x−a)

Correct answer

ty = x + at²

Explanation

Tangent at parametric point (at², 2at) on y²=4ax: ty = x + at². Alternatively at point (x₁,y₁): yy₁ = 2a(x+x₁).

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