If slope of a tangent to the curve xy + ax + by = 0 at the point (1, 1) on it is 2, then a – b is

MHT CET 2023 Mathematics question

If slope of a tangent to the curve at the point (1, 1) on it is 2, then a – b is

Answer: (A)

The point (1, 1) lies on the curve: , so ... (i). Differentiate implicitly: , so . At (1, 1) with slope 2: , i.e. $a +

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Question ID VK-094608