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Question
The equation of the parabola whose focus is the point (0, 0) and the tangent at the vertex is x-y+1=0 is
The equation of the parabola whose focus is the point (0, 0) and the tangent at the vertex is x-y+1=0 is
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Solution
The correct option is C
Let focus is S(0,0) and A is the vertex of parabola. Take any point Z such that AS=AZ. Given tangent at vertex is x-y+1=0.
Since directrix is parallel to the tangent at the vertex.
Let focus is S(0,0) and A is the vertex of parabola. Take any point Z such that AS=AZ. Given tangent at vertex is x-y+1=0.
Since directrix is parallel to the tangent at the vertex.