JEE Main 2026 — Parabola Questions with Solutions

Let y²=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…

Let one end of a focal chord of the parabola y²=16 x be (16,16). If P(α, β) divides this focal chord internally in the…

Let O be the vertex of the parabola x²=4 y and Q be any point on it. Let the locus of the point P, which divides the li…

If the chord joining the points P₁ (x₁, y₁ ) and P₂ (x₂, y₂ ) on the parabola y²=12 x subtends a right angle at the ver…

Let the point P be the vertex of the parabola y = x² - 6x + 12. If a line passing through the point P intersects the ci…

Let A,B and C be the vertices of a variable right angled triangle inscribed in the parabola y²=16x. Let the vertex B co…

Let the parabola y = x² + px + q passing through the point (1, -1) be such that the distance between its vertex and the…

An equilateral triangle OAB is inscribed in the parabola y²=4 x with the vertex O at the vertex of the parabola. Then t…

Let the locus of the mid-point of the chord through the origin O of the parabola y²=4 x be the curve S. Let P be any po…

Let chord PQ of length 3√(13) of the parabola y² = 12x be such that the ordinates of points P and Q are in the ratio 1:…