Let y^2=12 x 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 O P A=90^{\circ}. Then the locus of the centroid of such triangles O P A is: [21 Jan 2026 Shift 2]

Correct Answer is : y2−2x+8=0

Parabola Part 2

Section: Mathematics

Question : 7 of 45

Marks: +1, -0

Let y2=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 ∠OPA=90∘. Then the locus of the centroid of such triangles OPA is:

[21 Jan 2026 Shift 2]

y2−4x+8=0
y2−2x+8=0
y2−9x+6=0
y2−6x+4=0

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