NDA 2026 Mathematics question

The slope of the tangent to the curve at is . If the curve passes through the origin, then what is the area bounded by the curve, the -axis and the line ?

(A)1/3 square unitCorrect
(B)2/3 square unit
(C)1 square unit
(D)4/3 square units

Answer: (A)

Solution

. The curve passes through the origin, so and .

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Question ID VK-030448