There are two circles `C_(1)` and `C_(2)` touching each other and the coordinate axes, if `C_(1)` is smaller than `C_(2)` and its radius is 2 units, then radius of `C_(2)`, is

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) .

A circle C_(1), of radius 2 touches both x -axis and y -axis.Another circle C_(1) whose radius is greater than 2 touches circle and both the axes.Then the radius of circle is

The centres of two circles C_(1) and C_(2) each of unit radius are at a distance of 6 unit from each other. Let P be the mid-point of the line segment joining the centres of C_(1) and C_(2) and C be a circle touching circles C_(1) and C_(2) externally. If a common tangent to C_(1) and C passing through P is also a common tangent to C_(2) and C, then the radius of the circle C, is

Let circle c_(1), be inscribed in a square with side length 1. As shown in figure smaller circle c_(1) is inscribed in the lower right corner of the square so that c_(1) is tangent to c_(2) and the two sides of the square then the area of the c_(2) is

The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch each other, if |(c )/(a )| is equal to

AB is the common tangent to the circles C_(1) and C_(2).C_(1) and C_(2) are touching externally at C.AD and DC are two chords of the circle C_(1) and BE and CE are two chords of the circle C_(2) Find the measure of /_ADC+/_BEC

Two circles with centres C_(1),C_(2) and same radius r cut each other orthogonally,then r is

C_(1) is a circle of radius 1 touching the x- and the y-axis.C_(2) is another circle of radius greater than 1 and touching the axes as well as the circle C_(1). Then the radius of C_(2) is 3-2sqrt(2)(b)3+2sqrt(2)3+2sqrt(3)(d) none of these

Let C_(1) and C_(2) be externally tangent circles with radius 2 and 3 respectively.Let C_(1) and C_(2) both touch circle C_(3) internally at point A and B respectively.The tangents to C_(3) at A and B meet at T and TA=4, then radius of circle C_(3) is: