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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The number of tangents to the curve , where the tangents are equally inclined to the axes, is

Answer: (B)

Solution

The curve requires . Differentiating, .

A tangent equally inclined to the axes has slope . - Slope : $Missing argument for \sqrt\sqrtα + Missing argument for \sqrt\sqrtβ = 0

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Question ID VK-109362