A line is such that its segment between the lines `5x-y+4=0` and `3x+4y-4=0` is bisected at the point (1,5). Obtain its equation.

A circle whose centre is the point of intersection of the lines 2x-3y+4=0 and 3x=4y-5=0 passes through the origin.Find its equation.

A circle is drawn with its centre on the line x+y=2 to touch the line 4x-3y+4=0 and pass throughthe point (0,1). Find its equation.

Find the distance between the parallel lines 3x-4y+7=0 and 3x-4y+5=0

A straight line through the point A(3,4) is such that its intercept between the axis is bisected at A then its equation is: A.x+y=7 B.3x-4y+7=0C4x+3y=24D.3x+4y=24

Equation of angle bisector of the lines 3x-4y+1=0 and 12x+5y-3=0 containing the point (1,2)