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AP EAMCET201923 Apr 2019Morning ShiftMathematicsParabolaActual

The parametric equations of the parabola (y^2-8 x-4 y-12=0 ) are

Options

  1. A(x=2+2 t^2, y=-2+4 t )
  2. B(x=2+4 t, y=-2+2 t^2 )
  3. C(x=-2+2 t^2, y=2+4 t )
  4. D(x=-2+4 t, y=2+2 t^2 )

Correct answer

C. (x=-2+2 t^2, y=2+4 t )

Step-by-step solution

Given equation of parabola is ( aligned y^2-8 x-4 y-12 & =0 y^2-4 y & =8 x+12 (y-2)^2 & =8(x+2) 4 a & =8 a a & =2 aligned ) ( ) Parametric equations are ( aligned x+2 & =a t^2, y-2=2 a t x & =-2+2 t^2, y=2+4 t aligned ) ( ) Hence answer is (c).

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