In the given figure, PT is a common tang...

In the given figure, PT is a common tangent to three circles at points A, B and C respectively. The radius of the small, medium and large circles is 4 cm, 6 cm and 9 cm. `O_(1),O_(2) and O_(3)` are the centre of the three circles. What is the value (in cm) of PC?

`18 sqrt6`

`9 sqrt6`

`24 sqrt6`

`15 sqrt6`

Text Solution

Verified by Experts

Topper's Solved these Questions

2017 TIER-II PAPER(11)
CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
2017 TIER-II PAPER(13)
CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

In the figure RQ is a tangent to the circle with centre O. If SQ=6cm, QR=4cm, find OR.

In the given figure, PT is a tangent to the circle with centre O. If OT=6cm and OP=10cm, thcn find the length of tangent PT.

In the given figure, O is the centre of the circle. AB is tangent. AB =12 cm and OB = 13 cm . Find OA:

Two circles with centres O_(1) and O_(2) touch each other externally at a point R. AB is a tangent to both the circles passing through R. P'Q' is an-other tangent to the circles touching them at P and Q respectively and also cutting AB at S. PQ measures 6 cm and the point S is at distance of 5 cms and 4 cms from the centres of the circles. What is the area of triangle SO_(1)O_(2) ?

AP is tangent to the circle with centre O at point A. OP =10 cm and /_ OPA = 30^(@) . The radiu of the circle is

In the given figure ,AT is a tangent to the circle with centre O such that OT =4 cm and angleOTA=30^(@) .Then AT is equal to :

In the adjoining figure, O is the centre of the circle and AB is its diameter. If AC=8 cm and BC= 6cm, then find the radius of the circle.

Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.

CHAMPION PUBLICATION-2017 TIER-II PAPER(12)-EXERCISE

Two parallel chords are on one side of the centre of a circle. The len...
Text Solution
|
Two circles of radius 4 cm and 6 cm touch each other internally. What ...
Text Solution
|
In the given figure, PT is a common tangent to three circles at points...
Text Solution
|
PQRS is a cyclic quadrilateral. PR and QS intersect at T. If angleSPR=...
Text Solution
|
In the given figure, anglePSR=105^(@) and PQ is the diameter of the ci...
Text Solution
|
There are two identical circles of radius 10 cm each. If the length of...
Text Solution
|
PQRS is a rectangle in which side of PQ = 24 cm. and QR= 16 cm. T is a...
Text Solution
|
In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm ...
Text Solution
|
PQRS is a parallelogram and its area is 300 cm^2. Side PQ is extended ...
Text Solution
|
PQRST is a regular pentagon. If PR and QT intersects each other at X, ...
Text Solution
|
In the given figure, ABCDEF is a regular hexagon whose side is 12 cm. ...
Text Solution
|
ABCD passes through the centres of the three circles as shown in the ...
Text Solution
|
A= Area of the largest circle drawn inside a square of side 1 cm. B= S...
Text Solution
|
A prism has a square base whose side is 8 cm. The height of prism is 8...
Text Solution
|
A cone of radius 90 cm and A height 120 cm stands on its base. It is ...
Text Solution
|
The curved surface area of a cylinder is 594 cm^2 and its volume is 13...
Text Solution
|
A hollow cylinder is made up of metal. The difference between outer a...
Text Solution
|
A solid metal sphere has radius 14 cm. it is melted to from small cone...
Text Solution
|
A metallic hemispherical bowl is made up of steel. The total steel use...
Text Solution
|
There is a box of cuboid shape. The smallest side of box is 20 cm and ...
Text Solution
|