MHT CET 2023 Mathematics question

MathematicsArea Under CurveMHT CET 2023

The slop of the tangent to a curve at is . If the curve passes through the point , then the area (in sq. units), bounded by the curve, the X-axis and the line , is

Answer: (C)

Solution

. The curve passes through : , so . It meets the X-axis at and . The region bounded by the curve, the X-axis and the line lies between and (the curve is above the axis there):

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Question ID VK-096406