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

Question

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, 7 y + x - 6 = 0, 7 y - x - 6 = 0, 7 y + x + 6 = 0, 7 y - x + 6 = 0

MARKS App · Accepted Answer

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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