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NTA Abhyas JEE Main2020MathematicsParabolaPractice

The length of the intercept cut by the line 4 x + 4 3 y - 1 = 0 between the curve y 2 = x is equal to

Options

  1. A4
  2. B9
  3. C12
  4. D16

Correct answer

A. 4

Step-by-step solution

Given line is a focal chord for the parabola and its slope is tan ⁡ α = - 1 3 ∴ Length of the focal chord = 4 a cosec 2 α = 4 ⋅ 1 4 ⋅ 2 2 = 4

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