JEE Main 2026 — Parabola Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
Let O be the vertex of the parabola and Q be any point on it. Let the locus of the point P, which divides the line segment OQ internally in the ratio be the conic C. Then the equation of the chord of , which is bisected at the point , is :
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Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Parabola , vertex O = (0, 0), Q = on parabola.
P divides OQ in ratio 2:3: .
Eliminating : (conic C with ).
For chord with midpoint : .
At : .
.
P divides OQ in ratio 2:3: .
Eliminating : (conic C with ).
For chord with midpoint : .
At : .
.
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