![If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B](https://www.gkseries.com/blog/wp-content/uploads/2024/04/If-two-circles-of-radius-7-cm-and-8-cm-have-two-common-tangent-AB-and-CD-which-touch-the-circle-on-A-C-and-B.jpg)
If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB.
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-255-1024x499.png)
(a) 33
(b) 30
(c) 27
(d) 29
Sol:
Let difference between centers of the circles = a
ATQ,
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-256-1024x617.png)