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AP EAMCET20226 Jul 2022Evening ShiftMathematicsStraight LinesActual

Number of triangle formed by the lines x-y+3=0,2 x-y+3=0,3 x-y+2=0 and x+y-3=0 is

Options

  1. A4
  2. B6
  3. C3
  4. D2

Correct answer

A. 4

Step-by-step solution

Slope of line x-y+3=0 is 1 . Slope of line 2 x-y+3=0 is 2 . Slope of line 3 x-y+2=0 is 3 . Slope of line x+y-3=0 is -1 . As the slope of lines are different, there are 4 concurrent lines. Number of triangles formed by these lines = ^4 C₃=4

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