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MathsJEE Main 5 Apr 2026, Shift 2·Q12·MCQ·Moderate

Conic Sections · Parabola focal chord

Let the directrix of the parabola P:y2=8xP : y^2 = 8x, cut xx-axis at the point AA. Let B(α,β)B(\alpha, \beta), α>1\alpha > 1, be a point on PP such that the slope of ABAB is 3/53/5. If BCBC is a focal chord of PP, then six times the area of ΔABC\Delta ABC is:
  1. (1)80
  2. (2)160
  3. (3)174
  4. (4)192

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