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AP EAMCET20228 Jul 2022Evening ShiftMathematicsApplication of DerivativesActual

The angle made by the tangent at = / 3 on the curve x=a( + ), y=a(1- ) with X -axis is

Options

  1. A/ 6
  2. B/ 6
  3. C2 3
  4. D5 / 6

Correct answer

B. / 6

Step-by-step solution

x=a( + ) d x d =a(1+ )y=a(1- ) d y d =a d y d x = d y / d d x / d = 1+ At = 3 , d y d x = 3 / 2 1+ ( 1 2 ) = 1 3 = 6 = 6

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