Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Evening shift · Q12

JEE Main 202621 Jan, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002

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 :

JEE Main 2026 · 21 Jan, Evening shift · Q12

JEE Main 202621 Jan, Evening shiftMathematicsEasyCoordinate Geometry478× since 2002

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 :

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