Let y² = 12x be the parabola with its vertex at O. Let P be a poi… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let $y^2 = 12x$ be the parabola with its vertex at $O$ . Let $P$ be a point on the parabola and $A$ be a point on the $x$ -axis such that $\angle OPA = 90^\circ$ . Then the locus of the centroid of such triangles $OPA$ is :

A
$y^2 - 4x + 8 = 0$
B
$y^2 - 6x + 4 = 0$
C
$y^2 - 9x + 6 = 0$
D
$y^2 - 2x + 8 = 0$

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