JEE Main 2017 Mathematics question

MathematicsApplication of DerivativesJEE Main 2017

The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :

Answer: (A)

Solution

At x = 0, y = 1. Differentiating at (0, 1): 6y′ − 5 = 1, so y′ = 1. The

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Question ID VK-009009