Home
Class 10
MATHS
Common tangents AB and CD to two circles...

Common tangents AB and CD to two circles intersect at P, as shown in the figure. If radius OA = 5 cm, radius O'B=3 cm and the distance between the centres OO'= 16cm, then find OP

Text Solution

Verified by Experts

Given OA=5cm
O'B=3cm
00'=16cm
P divides the line joining the centres in the ratio of the radii of the circles
`((OP)/(O'P))=r_1/r_2=3/3`
OP=5x and O'P=3x
OP+O'P=OO'
5x+3x=16cm
...
Promotional Banner

Similar Questions

Explore conceptually related problems

AB and CD are common tangents to two circles which intersect each other at C as shown in the figure IF AB = 6cm , find CD.

Two circles are intersect externally if radius of one circle is 3.5 cm and other is 6.5 cm find the distance between their centres.

Two circles of same radius 5 cm, intersect each other at A and B. If AB = 8 cm, then the distance between the centres is

Two circles of same radius 5 cm, intersect each other at A and B. If AB = 8 cm, then the distance between the centres is :

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 each circles of radius 13 cm intersect each other and the length of their common chord is 10 cm. find the distance between the centre of the circle.

In a circle, AB and CD are two parallel chords with centre O and radius 5 cm such that AB = 8 cm and CD = 6 cm determine the distance between the chords?

Circle of radius 10 cm and 8 cm intersects at A and B AB = 12 find the distance b/w centres

AP is the tangent to a circle with centre O as shown in the figure .IF angleP=45^(@) and radius of the circle is 5cm,then OP is equal to :