Equation of the directrix of the parabola whose focus is $(0, 0)$ and the tangent at the vertex is $x - y + 1 = 0$ is

x - y = 0

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x - y - 1 = 0

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x - y + 2 = 0

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x + y - 1 = 0

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Solution

The correct option is D $x - y = 0$
Putting $x = 1, y = 2$
$1 - 2 + 1 = 0 - 1 + 1 = 0$
So, equation of directrix of parabola $x - y = 0$

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(iii) focus is (0,0) and the directrix is 2x-y-1=0

(iv) focus is (2,3) and the directrix is x-4y+3=0

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