MHT CET 2025 Mathematics question

MathematicsEllipseMHT CET 2025

The tangent to the ellipse making equal intercepts on the co-ordinate axes intersects X-axis and Y-axis in the points A and B respectively. Then A(OAB)= (where 0 is origin)

Answer: (B)

Solution

Write the ellipse as , so , . A tangent making equal intercepts on the axes has slope (the line ). The tangent of slope to is . Here , so the tangents

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Question ID VK-103045