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JEE Main 2014 Mathematics question

MathematicsHyperbolaJEE Main 2014

The tangent at an extremity (in the first quadrant) of the latus rectum of the hyperbola , meets the x-axis and y-axis at A and B, respectively. Then , where O is the origin, equals

Answer: (1)

Solution

Here , , so and the focus is (3, 0); the latus-rectum end in the first quadrant is . The

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Question ID VK-104685