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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let P and Q be any points on the curves and , respectively. The distance between P and Q is minimum for some value of the abscissa of P in the interval

Answer: (3)

Solution

The minimum distance between the circle and the parabola is along a common normal, which passes through the centre (1, −1) of the circle. The normal to with slope m is y = mx + . Through (1, −1): −1 = , i.e. ,

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Question ID VK-025078