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AP EAMCET202022 Sep 2020Morning ShiftMathematicsStraight LinesActual

The equation of the line through the point (-1,3) in symmetrical form, when the angle made by the line with the positive direction of X -axis is 120^ , is given by

Options

  1. A(x+1) -1 / 2 = (y-3) 3 / 2 =r
  2. B(x+1) 1 / 2 = (y+3) 3 / 2 =r
  3. C(x+1) -1 / 2 = (y+3) 3 / 2 =r
  4. D(x+1) 1 / 2 = (y-3) 3 / 2 =r

Correct answer

A. (x+1) -1 / 2 = (y-3) 3 / 2 =r

Step-by-step solution

The equation of line through the point (x₁, y₁ ) in symmetrical form, if it's inclination with positive direction of X -axis is is x-x₁ = y-y₁ =r So, the equation of the line in symmetric form where (x₁, y₁ )=(-1,3) and =120^ is x+1 120^ = y-3 120^ =r x+1 -1 / 2 = y-3 3 / 2 =r

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