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MHT CET202210 Aug 2022Evening ShiftMathematicsApplication of DerivativesActual

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

Options

  1. Ax a - y b =2
  2. Bx a + y 2 b =1
  3. Cx a + y b =1
  4. Dx a + y b =2

Correct answer

D. x a + y b =2

Step-by-step solution

Slope of the line = d y ~d x at (a, b) aligned & = -n ( x a )^ n-1 1 a n ( y b )^ n-1 1 b at (a, b) & = -b a aligned now equation of the straight line aligned & y-b=- b a (x-a) & a y-a b=-b x+a b & b x+a y=2 a b & x a + y b =2 aligned

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