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A parabola pases through (1,2) and satisfies the differential equation d y d x = 2 y x , x 0, y 0 . What is the length of latus rectum of the parabola?

Options

  1. A1
  2. B1 2
  3. C1 4
  4. D1 8

Correct answer

B. 1 2

Step-by-step solution

aligned & Since, d y d x = 2 y x & d y y = 2 d x x y=2 x+ c y=x^2 c & it satisfy (1,2) & 2=1 C C=2 y=2 x^2 aligned Since, length of lotus Rectum of Parabola =4 1 8 = 1 2

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