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AP EAMCET202420 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

A line L passing through the point (2,0) makes an angle 60^ with the line 2 x-y+3=0 . If L makes an acute angle with the positive X -axis in the anticlockwise direction. then the Y -intercept of the line L is

Options

  1. A10 3 -16 11
  2. B3 2 7
  3. C16-10 3 11
  4. D2

Correct answer

C. 16-10 3 11

Step-by-step solution

Equation of line passing through the point (2,0) and makes angle 60^ with 2 x-y+3=0 is y-y₁= m 1 m (x-x₁ ) y= 2 3 1 2 3 (x-2) As line makes acute angle with positive x -axis y= 2- 3 1+2 3 (x-2) y= 8-5 3 -11 (x-2) y -intercept = 16-10 3 11

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