Find the image of the point `(1, -2)` with respect to the line mirror `2x-y+1=0`

Find the image of the point (2,1) with respect to the line mirror x+y-5=0

Find the image of the point (-8,12) with respect to line mirror 4x+7y+13=0

Image of the point (-1, 3) with respect to the line y = 2x is

Find the image of the point with respect to line mirror.

Find the image of the point (2,-3,4) with respect to the plane 4x+2y-4z+3=0

Find the image of the point (p, q, r) with respect to the plane 2x+ y + z = 6. Hence find the image of the line (x-1)/2=(y-2)/1=(z-3)/4 with respect to the plane.

If the image of the point (x_1, y_1) with respect to the mirror ax+by+c=0 be (x_2 , y_2) .

If the image of the point ( x_1,y_1 ) with respect to the mirror ax+by+c=0 be ( x_2,y_2 ), show that (x_2-x_1)/a=(y_2-y_1)/b=(-2(ax_1+by_1+c))/(a^2+b^2) .