JEE Main 2026 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2026

Let 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 . Then the locus of the centroid of such triangles OPA is:

Answer: (3)

Solution

With , line AP meets x-axis at . Centroid gives , , leading to locus .

Question ID VK-001000