If the two circles are cut each other ,then their common chord is.........

Let two circles having radii r_(1) and r_(2) are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then k^(4) is equal to

If two circles touching both the axes are passing through (2,3) then length of their common chord is

In the figure, two circles touch each other at the point C.Prove that the common tangents to the circles at C, bisect the common tangents at P and Q.

Two circles with centers O and O' of radii 6cm and 8 cm respectively intersect two points P and Q such that OP and O'P are tangents to the two circle. The length of the common chord PQ is

In the adjoining figure, A and B are the centres of two circles. If CB=17cm, EB=15cm, then find the length of common chord.

If radii of the two concentric circles are 15cm and 17cm, then the length of each chord of one circle which is tangent to other is: 8cm (b) 16cm (c) 30cm (d) 17cm

If radii of the two concentric circles are 15cm and 17cm, then the length of each chord of one circle which is tangent to other is: 8cm (b) 16cm (c) 30cm (d) 17cm

Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of common chord PQ.

In Figure, two circles touch each other at the point C . Prove that the common tangent to the circles at C , bisects the common tangent at P and Q .

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.