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AP EAMCET202023 Sep 2020Morning ShiftMathematicsParabolaActual

The directrix of the parabola 2 y 2 + 25 x = 0 is _________

Options

  1. A8 x - 25 = 0
  2. B8 y - 25 = 0
  3. C25 x - 28 = 0
  4. D25 y - 8 = 0

Correct answer

A. 8 x - 25 = 0

Step-by-step solution

The directrix of the parabola 2 y 2 + 25 x = 0 is Now, 2 y 2 = - 25 x y 2 = - 25 2 x y 2 = - 4 4 ( 25 2 x ) y 2 = - 4 ( 25 8 ) x Comparing y 2 = - 40 x , we get where, a = 25 8 The directrix of a parabola, ⇒ x - 25 8 = 0 ⇒ 8 x - 25 = 0 .

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