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AP EAMCET202018 Sep 2020Evening ShiftMathematicsParabolaActual

The tangent at the point ((1,2) ) to the curve (y^2=4 x ) makes an angle ( ) with the positive direction of (X )-axis. Then ( = )

Options

  1. A(60^ )
  2. B(30^ )
  3. C(90^ )
  4. D(45^ )

Correct answer

D. (45^ )

Step-by-step solution

(y^2=4 x ; P=(1,2) ) differentiate w.r. to ' (x ) ' ( aligned 2 y y^ & =4 1 y^ & = 4 2 y y^ & = 2 y aligned ) ( aligned Slope of tangent & = .y^ |_ P(1,2) = . 2 y |_ P(1,2) & =1 =45^ aligned ) Hence, option (d) is correct.

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