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WBJEE2011MathematicsParabolaActual

The coordinates of a moving point (p ) are ( (2 t^2+4,4 t+6 ) ). Then its locus will be a

Options

  1. Acircle
  2. Bstraight line
  3. Cparabola
  4. Dellipse

Correct answer

C. parabola

Step-by-step solution

Hints: (x=2 t^2+4, y=4 t+6, y=4 t+6 t= ( y-6 4 ) ) ( aligned & x=2 ( y-6 4 )^2+4 (y-6)^2 8 =x-4 & (y-6)^2=4(2)(x-4) aligned )

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