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The line 3 x - 4 y + 7 = 0 is rotated through an angle π 4 in the clockwise direction about the point - 1 , 1 . The equation of the line in its new position is

Options

  1. A7 y + x - 6 = 0
  2. B7 y - x - 6 = 0
  3. C7 y + x + 6 = 0
  4. D7 y - x + 6 = 0

Correct answer

A. 7 y + x - 6 = 0

Step-by-step solution

As ( - 1 ,   1 ) is a point on 3 x   –   4 y   +   7   =   0 , the rotation is possible. Slope of the given line = 3 4 Slope of the line in its new position = 3 4 - 1 1 + 3 4 = - 1 7 Therefore, the required equation is y - 1 = - 1 7   x + 1 or 7 y + x - 6 = 0

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