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:

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.

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 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

The co-ordinates of the end points of a diameter of a circle are (3, -2) and (-3, 6). Find the co-ordinates of the centre and radius.

If x+2y=3 and 2x+y=3 touches a circle whose centres lies on 3x+4y=5, then possible co-ordinates of centres of circle are

Statement-1: The common chord of the circles x^2+y^2-10 x+16=0a n dx^2+y^2=r^2 is of maximum length if r^2=34 Statement-2: The common chord of two circles is of maximum length if it passes through the centre of the circle with smaller radius. (A)Statement -1 is True, Statement -2 is True ; Statement -2 is a correct explanation for Statement -1 (B) Statement-1 is True, Statement-2 is True ; Statement-2 is NOT correct explanation for Statement-1 (C)Statement -1 is True, Statement -2 is False

For the circle x^(2)+y^(2)-4x+2y+c=0 radius is 4 then c=

If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the circle x^2 + y^2-2x + 8y-d = 0 ,then (c+d) is equal to

The equation of a circle C_1 is x^2+y^2-4x-2y-11=0 A circle C_2 of radius 1 rolls on the outside of the circle C_1 The locus of the centre C_2 has the equation