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JEE Main 2026 Mathematics question

MathematicsParabolaJEE Main 2026

Let the directrix of the parabola P : y²=8x, cut the x-axis at the point A. Let B(α,β), α>1, be a point on P such that the slope of AB is 3/5. If BC is a focal chord of P, then six times the area of △ABC is:

Answer: (B)

Solution

A=(−2,0). Solving slope condition with β²=8α gives B=(18,12). The other end of

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Question ID VK-015421