JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let M and N be the number of points on the curve , where the tangents to the curve are parallel to x-axis and y-axis, respectively. Then the value of M + N equals

Answer: 2

Solution

Differentiating : , so . The tangent is parallel to the x-axis when 9y − 2 = 0, which

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Question ID VK-034441