A is a point (a, b) in the first quadrant. If the two circIes which passes through A and touches the coordinate axes cut at right angles then :

Find equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.

Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

If the distance of a point (x_(1),y_(1)) from each of the two straight lines, which pass through the origin of coordinates, is delta , then the two lines are given by

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

The circle passing through (1,-2) and touching the axis of x at (3,0) passing through the point

Find the equation of a line which passes through the point (2,3) and which has equal intercepts on the axes.