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JEE Main 2022 Mathematics question

MathematicsParabolaJEE Main 2022

Let the tangent drawn to the parabola at the point (, ) is perpendicular to the line 2x + 2y = 5. Then the normal to the hyperbola at the point (, ) does NOT pass through the point

Answer: (4)

Solution

The tangent at (, ) to is , with slope . It is perpendicular to 2x + 2y = 5 (slope −1), so , giving and . The hyperbola is

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Question ID VK-025176