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JEE Main 2022 Mathematics question

MathematicsParabolaJEE Main 2022

The tangents at the points A(1, 3) and B(1, −1) on the parabola meet at the point P. Then the area (in ) of the triangle PAB is

Answer: (4)

Solution

The parabola can be written as . The tangent at A(1, 3) is 2y − x − 5 = 0, which meets the axis y = 1 at x = −3, so P

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Question ID VK-024726