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Let (2,3) be the focus of a parabola and...

Let `(2,3)` be the focus of a parabola and `x + y = 0` and `x-y= 0` be its two tangents. Then equation of its directrix will be

A

`2x - 3y = 0`

B

`3x +4y = 0`

C

`x +y = 5`

D

`12x -5y +1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Mirror image of focus in the tangent of parabola lies on its directrix. Here, mirror images of (2,3) in given lines are (3,2) and `(-3,-2)`.
`:.` Equation of directrix is `2x - 3y =0`.
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