Find the Equation; radius; center of the circle and its x intercept and y intercept ?

Find the equation of the circle drawn on the intercept made by the line 2x+3y=6 between the coordinate axes as diameter.

Find the equation of the circle passing through the origin and cutting intercepts 10 and 24 from the positive side of x and y axis respectively

Reduce the equations of the following planes in intercept form and find its intercepts on the coordinate axes: 2x-y+z=5

Find the equation of the circle with center at (3,-1) and which cuts off an intercept of length 6 from the line 2x-5y+18=0

Reduce the equations of the following planes in intercept form and find its intercepts on the coordinate axes: 4x+3y-6z-12=0

Find the equations of the circles touching y - axis at (0,3) and making an intercept of 8 units on the x-axis.

Find the equation of the circle, passing through the origin and cutting off intercepts 2a units and b units on the x-axis and y-axis respectively.

Find the equation of a straight line: with slope 2 and y-intercept 3;

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

Find the locus of the center of the circle which cuts off intercepts of lengths 2a and 2b from the x-and the y-axis,respectively.