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 C1: x^2+y^2=16 intersect another circle C2 of radius 5 in such a way that common chord is of maximum length and has a slope equal to 3/4, then coordinates of the centre of C2 is: a. (9/5,12/5) b. (9/5,-12/5) c. (-9/5,-12/5) d. (-9/5,12/5)

If the circle (x-a)^(2)+y^(2)=25 intersect 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.

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_(2) .

If the circle x^(2)+y^(2)-2x-2y-1=0 bisects the circumference of the circle x^(2)+y^(2)=1 then the length of the common chord of the circles is

Statement-1: The common chord of the circles x^(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.

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

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