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MHT CET20239 May 2023Evening ShiftMathematicsStraight LinesActual

The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the line from the origin makes, is 120^ with positive X -axis, is

Options

  1. Ax+ 3 y-14=0
  2. Bx+ 3 y+14=0
  3. Cx- 3 y+14=0
  4. Dx- 3 y-14=0

Correct answer

C. x- 3 y+14=0

Step-by-step solution

Normal form of the equation of line is array ll & x +y = p & Here, =120^ and p =7 & x 120^ +y 120^ =7 & x ( -1 2 )+y ( 3 2 )=7 & -x+ 3 y 2 =7 & -x+ 3 y=14 & -x+ 3 y-14=0 & x- 3 y+14=0 array

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