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COMEDK2012MathematicsParabola

The parametric equation of a parabola is x=t²+1, y=2 t+1 . The cartesian equation of its directrix is

Options

  1. Ay=0
  2. Bx=-1
  3. Cx=0
  4. Dx-1=0

Correct answer

C. x=0

Step-by-step solution

Given that, x=t²+1 x-1=t² and y=2 t+1 y-1=2 t Now, (y-1)²=4 t²=4(x-1)(y-1)²=4(x-1) So, x-1=-1 x=0

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