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Tangent at Vertex when (2,3),(3,2) Equidistant from Focus | JEE
JEE Maths question with a full step-by-step solution.
If the points and on a parabola are equidistant from the focus, then the tangent at the vertex is:
Aparallel to
Bparallel to correct
Cparallel to the -axis
Dparallel to the -axis
Step 1: Points equidistant from the focus are reflections in the axis, so the chord joining them is perpendicular to the axis — and therefore parallel to the tangent at the vertex.
Step 2: Slope of the chord , so the tangent at the vertex is parallel to .
Correct answer: (2)
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