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MathsJEE Main 23 Jan 2026, Shift 2·Q19·MCQ·Moderate

Conic Sections · Equilateral triangle in parabola

An equilateral triangle OABOAB is inscribed in the parabola y2=4xy^2 = 4x with the vertex OO at the vertex of the parabola. Then the minimum distance of the circle having ABAB as a diameter from the origin is
  1. (1)4(3−3)4(3 - \sqrt3)
  2. (2)2(8−33)2(8 - 3\sqrt3)
  3. (3)4(6+3)4(6 + \sqrt3)
  4. (4)2(3+3)2(3 + \sqrt3)

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See the full 23 Jan 2026, Shift 2 paper