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MHT CET202314 May 2023Evening ShiftMathematicsStraight LinesActual

Let P (-3,0), Q (0,0) and R (3,3 3 ) be three points. Then the equation of the bisector of the angle PQR is

Options

  1. A3 2 x+y=0
  2. Bx+ 3 y=0
  3. C3 x+y=0
  4. Dx+ 3 2 y=0

Correct answer

C. 3 x+y=0

Step-by-step solution

Slope of QR = 3 3 -0 3-0 = 3 i.e., =60^ Clearly, PQR =120^ OQ is the angle bisector of the angle PQR, so line OQ makes 120^ with the positive direction of X -axis. Therefore, equation of the bisector of PQR is y= 120^ x y=- 3 x 3 x+y=0

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