JEE Advanced Mathematics question
The axis of a parabola is along the line and the distance of the origin from its vertex is and that from its focus is . If the vertex and focus both lie in the first quadrant then the equation of the parabola is
Answer: (D)
Solution
The vertex with , so (first quadrant): . The focus with , so : .
The vertex is the midpoint of the focus and the foot of the directrix on the axis. That foot is . The directrix
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