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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The triangle formed by the tangent to the curve at the point and the coordinate axes, lies in the first quadrant. If its area is 2 then the value of is

Answer: (C)

Solution

for every , and , so the slope at is . Tangent: , i.e. .

Intercepts: (on -axis), (on -axis).

First quadrant: and

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Question ID VK-110551