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NTA Abhyas JEE Main2020MathematicsParabolaPractice

The locus of the point x , y whose distance from the line y = 2 x + 2 is equal to the distance from 2 , 0 , is a parabola with the length of latus rectum same as that of the parabola y = K x 2 , then the value of K is equal to

Options

  1. A5 12
  2. B5 4
  3. C4 5
  4. D12 5

Correct answer

A. 5 12

Step-by-step solution

Length of L R = 2 S M = 2 2 2 + 2 - 0 2 2 + 1 = 12 5 ⇒ 1 K = 12 5 ⇒ K = 5 12

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