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AP EAMCET20226 Jul 2022Evening ShiftMathematicsApplication of DerivativesActual

The normal to the curve x=a(1+ ) , y=a at always passes through a fixed point, then the fixed point is

Options

  1. A(a, 0)
  2. B(0, a)
  3. C(0,0)
  4. D(a, a)

Correct answer

A. (a, 0)

Step-by-step solution

Given, x=a(1+ ) aligned & and y=a & d x d =a(- ) & d y d =a d x d y =- & -d x d y = , [ Slope of normal = -1 d y / d x ] & aligned Slope of normal = Equation of normal is aligned & y-a = (x-a-a ) & y-a =x -a -a & y= (x-a) aligned The line passes through the point (a, 0) .

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