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BITSAT2016MathematicsParabolaActual

The parabola having its focus at (3,2) and directrix along the y -axis has its vertex at

Options

  1. A(2,2)
  2. B( 3 2 , 2 )
  3. C( 1 2 , 2 )
  4. D( 2 3 , 2 )

Correct answer

B. ( 3 2 , 2 )

Step-by-step solution

Vertex of the parabola is a point which lies on the axis of the parabola, which is a line to the directrix through the focus, i.e., y =2 and equidistant from the focus and directrix x =0 , so that the vertex is ( 3 2 , 2 ) .

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