Let the locus of the mid-point of the chord through the origin O… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let the locus of the mid-point of the chord through the origin $O$ of the parabola $y^2 = 4x$ be the curve $S$ . Let $P$ be any point on $S$ . Then the locus of the point, which internally divides $OP$ in the ratio $3:1$ , is

A
$3y^2 = 2x$
B
$3x^2 = 2y$
C
$2y^2 = 3x$
D
$2x^2 = 3y$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions