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MathsJEE Main 22 Jan 2026, Shift 2·Q17·MCQ·Moderate

Conic Sections · Locus of chord mid-points

Let the locus of the mid-point of the chord through the origin OO of the parabola y2=4xy^2 = 4x be the curve SS. Let PP be any point on SS. Then the locus of the point, which internally divides OPOP in the ratio 3:13:1, is:
  1. (1)3y2=2x3y^2 = 2x
  2. (2)2y2=3x2y^2 = 3x
  3. (3)3x2=2y3x^2 = 2y
  4. (4)2x2=3y2x^2 = 3y

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