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If the focus of a parabola is (0, -3) and its directrix is y=3 , then its equation is

(a) x 2 = − 1 2 y
(b) x 2 = 1 2 y
(c) y 2 = − 1 2 x
(d) y 2 = 1 2 x

0 2 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is an objective Type Questions as classified in NCERT Exemplar

    Sol:

    According  to  the  definition  of  parabola       (x−0)2+(y+3)2=|y−3(0)2+(1)2|⇒      x2+y2+9+6y=|y−3|Squaring  both  sides,  we  have               x2+y2+9+6y=y2+9−6y⇒                    x2+9+6y=9−6y⇒                                      x2=−12yHence,  the  correct  option  is  (a).

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