MHT CET 2024 Mathematics question

MathematicsApplication of DerivativesMHT CET 2024

A point moves along the arc of parabola y = 2x. Its abscissae increases uniformly at the rate of 2 units/sec. At the instant, the point is passing through (1, 2), its distance from origin is increasing at the rate of

Answer: (2)

Solution

The distance from the origin is since . Then . At : , ,

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Question ID VK-095677