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MathsJEE Main 21 Jan 2026, Shift 2·Q6·MCQ·Easy–moderate

Conic Sections · Focal chord of a parabola

Let one end of a focal chord of the parabola y2=16xy^2 = 16x be (16,16)(16, 16). If P(α,β)P(\alpha, \beta) divides this focal chord internally in the ratio 5:25:2, then the minimum value of α+β\alpha + \beta is equal to:
  1. (1)22
  2. (2)7
  3. (3)5
  4. (4)16

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