Theorem on Touching Circles
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Q. Question 11
In figure , O is the centre of a circle of radius 5 cm. T is a point such that OT = 13 and OT intersect the circle at E, if AB is the tangent to the circle at E, find the length of AB.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/15573/content_1.png)
In figure , O is the centre of a circle of radius 5 cm. T is a point such that OT = 13 and OT intersect the circle at E, if AB is the tangent to the circle at E, find the length of AB.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/15573/content_1.png)
Q.
Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm and 7 cm. Find the radii of the circles.
1 cm, 2 cm, 4 cm
2 cm, 3 cm, 4 cm
3 cm, 4 cm, 1 cm
1 cm, 2.5 cm, 3.5 cm
Q.
The radius of any circle touching the lines and is
Q. If radii of two circles are 4 cm and 2.8 cm. Draw figure of these circles touching each other – (i) externally (ii) internally.