Two circles of radii 13 cm and 5 cm touc...

Two circles of radii 13 cm and 5 cm touch internally each other. Find the distance between their centres:

A

18 cm

B

12 cm

C

9 cm

D

8 cm

Text Solution

Verified by Experts

The correct Answer is:

D

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Knowledge Check

Two circles of radii 7 cm and 5 cm intersect each other at P and Q, and the distance between their centres is 10 cm. The length (in cm) of the common chord PQ is:

A

`(4 sqrt(66))/(5)`

B

`(3sqrt(74))/(5)`

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`(3sqrt(66))/(5)`

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Two circles of radii 5 cm and 3 cm intersect each other at A and B,and the distance betweentheir centres is 6 cm. The length (in cm) of the common chord AB is:

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B

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C

`(2sqrt(13))/(3)`

D

`(4sqrt(14))/(3)`

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

A

`r_1-r_2`

B

`r_2-r_1`

C

`r_1^2-r_2^2`

D

`r_2^2-r_1^2`

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