Question

The line 3x-4y+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:

• A. 7y+x-6=0
• B. 7y-x-6=0
• C. 7y+x+6=0
• D. 7y-x+6=0

Hint:

Use slope-rotation formula for line rotation.

Answer 1

The Correct Option is A

Slope of given line: m=(3)/(4) After clockwise rotation by (π)/(4): m'=(m-1)/(1+m)=(-1)/(7) Passing through (-1,1): y-1=-\frac17(x+1) 7y+x-6=0