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 C_(2) of radius 5 intersects othe circle C_(1):x^(2)+y^(2)=16 such that the common chord is in maximum length and its slope is (3)/(4) , then the centre of C_(2) will be-

If tangent at (1, 2) to the circle C_1: x^2+y^2= 5 intersects the circle C_2: x^2 + y^2 = 9 at A and B and tangents at A and B to the second circle meet at point C, then the co- ordinates of C are given by

Two equal circles of radius 10 cm intersect each other and the length of their common chord is 12 cm . Find the distance between 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

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

Two circles intersect each other. Radius of both the circles is 10cm in length and length of the common chord is 16cm. What is the distance between the centres of the two circles?

A circle is drawn to cut a chord of length 2a unit along x-axis and to touch the y-axis. Then the locus of the centre of the circle is-

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:

Let circle C_1 : x^2 + (y-4)^2 = 12 intersects circle C_2: (x-3)^2 +y^2=13 at A and B. A quadrilateral ACBD is formed by tangents at A and B to both circles. The diameter of circumcircle of quadrilateral ACBD is