If the circle `C_1: x^2 + y^2 = 16` intersects another circle `C_2` of radius `5` in such a manner that,the common chord is of maximum length and has a slope equal to `3/4`, then the co-ordinates of the centre of `C_2` are:

If the circle (x-a)^2+y^2=25 intersects the circle x^2+(y-b)^2=16 in such a way that common chord is of maximum length, then value of a^2+b^2 is

Circles of radius 5 units intersects the circle (x-1)^(2)+(x-2)^(2)=9 in a such a way that the length of the common chord is of maximum length. If the slope of common chord is (3)/(4) , then find the centre of the circle.

Two circles C_1 and C_2 intersect in such a way that their common chord is of maximum length. The center of C_1 is (1, 2) and its radius is 3 units. The radius of C_2 is 5 units. If the slope of the common chord is 3/4, then find the center of C_2dot

A circle C_1 of radius b touches the circle x^2 + y^2 =a^2 externally and has its centre on the positiveX-axis; another circle C_2 of radius c touches the circle C_1 , externally and has its centre on the positive x-axis. Given a lt b lt c then three circles have a common tangent if a,b,c are in

A circle is given by x^2 + (y-1) ^2 = 1 , another circle C touches it externally and also the x-axis, then the locus of center is:

A circle C_1 , of radius 2 touches both x -axis and y - axis. Another circle C_2 whose radius is greater than 2 touches circle and both the axes. Then the radius of circle is

If a chord of a the circle x^(2)+y^(2) = 32 makes equal intercepts of length of l on the co-ordinate axes, then

A circle of radius 2 has its centre at (2, 0) and another circle of radius 1 has its centre at (5, 0). A line is tangent to the two circles at point in the first quadrant. The y-intercept of the tangent line is

If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

Seg AB is a dimeter of a circle with centre P(1,2), If A(-4,2) then find the co-ordinates of point B.