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MHT CET202410 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

If the length of the perpendicular to a line from the origin is 2 2 units, which makes an angle of 135^ with the X -axis, then the equation of line is

Options

  1. Ax+y=4
  2. Bx-y+4=0
  3. Cx-y=4
  4. Dx+y+4=0

Correct answer

B. x-y+4=0

Step-by-step solution

Given that the perpendicular to the line makes an angle of 135^ with the X -axis. Slope of perpendicular = (135^ )=1 Slope of the required line =1 , and it passes through the second quadrant. Equation of the line is of the form y=x+c i.e., x-y+c=0 Distance of this line from the origin is 2 2 units. array ll & 2 2 = | 0-0+c (1)^2+(-1)^2 | & 2 2 = | c 2 | array c =4 [ c =-4 is not possible as line passes through second quadrant]

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