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Question 440003
JEE Mathematics · Medium

Coordinate Geometry Mixed Practice: Parabola and line MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Parabola and lineMediumQuestion 440003

Question

The line y = mx + c is tangent to y² = 4ax if:
  1. A
    c = a/m
    Correct
  2. B
    c = m/a
  3. C
    c = am
  4. D
    mc = a

Correct answer

c = a/m

Explanation

Condition for y = mx + c to be tangent to y² = 4ax: c = a/m. This is the standard tangency condition.

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