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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Mathematics
Chapter
Parabola

BITSAT 2016 · Mathematics · Parabola

The parabola having its focus at (3,2) and directrix along the y...

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

Options

  1. A(2,2)
  2. B(32,2)\left(\frac{3}{2}, 2\right)
  3. C(12,2)\left(\frac{1}{2}, 2\right)
  4. D(23,2)\left(\frac{2}{3}, 2\right)

Correct answer

B. (32,2)\left(\frac{3}{2}, 2\right)

Step-by-step solution

Vertex of the parabola is a point which lies on the axis of the parabola, which is a line ⊥\perp to the directrix through the focus, i.e., y=2\mathrm{y}=2 and equidistant from the focus and directrix x=0\mathrm{x}=0, so that the vertex is \left(\frac{3}{2}, 2\right). The parabola having its focus at (3,2) and directrix along the y -axis has its vertex at
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