The curve ( x a )^n + ( y b )^n = 2, n N touches the line at the point (a, b) then the equation of the line is

MHT CET 2022 Mathematics question

The curve , touches the line at the point then the equation of the line is

Answer: (D)

The line is the tangent to the curve at . Differentiate implicitly: . At both brackets equal 1, so , giving . The tangent is

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Question ID VK-095987