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Question

Let (2, 3) be the focus of parabola and x+y=0 and xy=0 be its two tangents, then equation of its directrix will be
  1. 2x3y=0
  2. 3x+4y=0
  3. x+y=5
  4. 12x5y+1=0

A
x+y=5
B
2x3y=0
C
12x5y+1=0
D
3x+4y=0
Solution
Verified by Toppr

x+y=0 & xy=0
Equation of directrix is (3,2) & (0,0)
focus is mirror image on directrix (3,2)
i.e, y=23x
3y=2x
2x3y=0.

1201612_1280488_ans_abc0aa9656dd4ab0bf1657b75d19e80b.jpg

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