Home
Class 11
MATHS
Three equal circles each of radius r tou...

Three equal circles each of radius `r` touch one another. The radius of the circle touching all the three given circles internally is `(2+sqrt(3))r` (b) `((2+sqrt(3)))/(sqrt(3))r` `((2-sqrt(3)))/(sqrt(3))r` (d) `(2-sqrt(3))r`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Three equal circles of radius unity touches one another.Radius of the circle touching all the three circles is:

Circles of radii 2,2,1 touch each other externally.If a circle of radius r touches all the three circles externally,then r is

Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area enclosed between them. [Take pi=3.14 and sqrt(3)=1.732 ]

The radius of the circle touching the straight lines x-2y-1=0 and 3x-6y+7=0 is (A) 1/sqrt(2) (B) sqrt(5)/3 (C) sqrt(3) (D) sqrt(5)

The equation of four circles are (x+-a)^(2)+(y+-a^(2)=a^(2). The radius of a circle touching all the four circles is (sqrt(2)+2)a( b) 2sqrt(2)a(sqrt(2)+1)a(d)(2+sqrt(2))a

Two equal circles of radius r intersect such that each passes through the centre of the other.The length of the common chord of the circles is sqrt(r)(b)sqrt(2)rAB(c)sqrt(3)r(d)(sqrt(3))/(2)r

Three circles of radii 1,2,3 touch other externally.If a circle of radiusr touches the three circles,then r is

Three circles of radius 1 cm are circumscribed by a circle of radius r, as shown in the figure. Find the value of r? (a) sqrt(3) + 1 (b) (2+sqrt(3))/(sqrt(3)) (c) (sqrt(3) + 2)/(sqrt(2)) (d) 2 + sqrt(3)

sqrt(6-4sqrt(3)+sqrt(16-8sqrt(3))) is equal to 1-sqrt(3) b.sqrt(3)-1 c.2(2-sqrt(3)) d.2(2+sqrt(3))

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)