the line PQ whose equation is x y = 2 cuts the x- axis at P and Q - Maths - Straight Lines

Question

the line PQ whose equation is x – y = 2 cuts the x- axis at P
and Q is ( 4,2) the line PQ is rotated about P through 45 degree in
the anticlockwise direction the equation of the line PQ in the new
position is what?

Rishabh Mittal · Accepted Answer

x-y=2 cuts the x-axis at Pso, y=0 at P
x-0=2x=2point P is 2,0x-y=2y=x-2slope,m1=1=tan 45°so after rotating , it will be making 90° angle with positive x-axisso, slope =tan 90equation of PQy-0=tan 90 x-2⇒x-2=0x=2 ANS

the line PQ whose equation is x – y = 2 cuts the x- axis at P and Q is ( 4,2) . the line PQ is rotated about P through 45 degree in the anticlockwise direction . the equation of the line PQ in the new position is what?