Question

A circle of radius square root of 10 touches the line x - 3y = 2. Find the general equation of the locus of its center. (Two solutions)

Find the general equations of the bisectors of the angles between the lines:
a. 3x + y = 6 and x + 3y = -2
b. 4x - 5y = 26 and 5x + 4y = 20

Find the general equation of the line through the point A(-1, 2) and passing at a distance 3 from the point Q(-10, -5).

A circle of radius 6 touches both the coordinate axes. A line with slope -3/4 passes over and just touches the circle. If the circle is in the first quadrant, find the general equation of the line.