There are two circles C1 and C2 of radii...

There are two circles `C_1` and `C_2` of radii `r_1` and `r_2`, respectively. They are mutually tangent to each other and to a line as well. There is one more circle of radius `r_3` which is tangent to this line and first two circles `C_1` and `C_2`. What is the relation between the three radii `r_1, r_2` and `r_3` ?

`1/sqrtr_1+1/sqrtr_2=1/sqrtr_3`

`sqrtr_1/sqrtr_2+sqrtr_2/sqrtr_1=1/sqrtr_3`

`1/sqrtr_3+1/sqrtr_1+1/sqrtr_2`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

FUNCTIONS AND GRAPHS
QUANTUM CAT|Exercise QUESTION BANK|286 Videos
LOGARITHM
QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

Two circle with radii r_(1) and r_(2) respectively touch each other externally. Let r_(3) be the radius of a circle that touches these two circle as well as a common tangents to two circles then which of the following relation is true

The distance between the centres of the two circles of radii r_1 and r_2 is d. They will thouch each other internally if

Two circles with radii a and b respectively touch each other externally . Let c be the radius of a circle that touches these two circles as well as a common tangent to the circles. Then

Circles C_(1) and C_(2) of radii r and R respectively, touch each other as shown in the figure. The lime l, which is parallel to the line joining the centres of C_(2) and C_(2) is tangent to C_(1) at P and intersects C_(2) at A,B.If R^(2)=2r^(2) , then angleAOB equals-

If C_1 and C_2 and r_1 and r_2 are respectively the centroids and radii of incircles of two congruent triangles, then which one of the following is correct?

Two cars of masses m_1 and m_2 are moving in circles of radii r_1 and r_2 , respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

IF two circles of radii r_1 and r_2 (r_2gtr_1) touch internally , then the distance between their centres will be

QUANTUM CAT-GEOMETRY-QUESTION BANK

In the concerned diagrams, chords AB and CD are parallel and radius OR...
Text Solution
|
AB and CD are two parallel chords of a circle of lengths 10 cm and 4 c...
Text Solution
|
In the given figure, the perpendicular bisector AD of the equilateral ...
Text Solution
|
Find the length of the tangent to a circle with centre O and radius ...
Text Solution
|
There are two circles C1 and C2 of radii r1 and r2, respectively. They...
Text Solution
|
Two equal circles with centres P and Q are tangent at O. A common line...
Text Solution
|
In the following diagram four circles are tangent to every other circl...
Text Solution
|
In the following diagram there are three circles packed in another cir...
Text Solution
|
There are three circles,with radii 1 cm, 2 cm and 3 cm, tangent to eac...
Text Solution
|
In the following diagram, a semicircle of radius r inscribes two semic...
Text Solution
|
Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...
Text Solution
|
Let a,b and c be the sides of a triangle. No two of them are equal and...
Text Solution
|
Which of the following best describes the values of k, if a, b and c a...
Text Solution
|
x, y and z are prime numbers and x+y+z = 48. What is the maximum value...
Text Solution
|
In a triangle ABC, the median BD yields angle BDC=45^@ and angle ABD=a...
Text Solution
|
The number of 3 digit natural numbers less than 5,00 which can be form...
Text Solution
|
A straight line through the vertex of a triangle PQR intersects the si...
Text Solution
|
Let ABCD be a square of side length 2 units. Let C1 be the incircle an...
Text Solution
|
In a circle with centre O, the diameter PY is perpendicular to chord A...
Text Solution
|
A circle C1 with diameter 1//25 cm is tangent to X-axis at (2//5, 0) a...
Text Solution
|