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MHT CET202122 Sep 2021Evening ShiftMathematicsStraight LinesActual

If the line joining two points A (2,0) and B (3,1) is rotated about A in anticlockwise direction through an angle of 15^ , then the equation of the line in new position is

Options

  1. Ay=3 x-6
  2. By= 3 x-2 3
  3. Cy=- 3 x+2 3
  4. Dy= 1 3 x- 2 3

Correct answer

B. y= 3 x-2 3

Step-by-step solution

Refer Figure Slope of AB = 1-0 3-2 =1 =1 =45^ Line AB is rotated through 15^ in anticlockwise direction about A. Therefore in a new position, slope of line = (45^ +15^ )= 60^ = 3 and it passes through A . Required equation of line is ( y -0)= 3 ( x -2) 3 x-2 3 =y

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