CBSE Class 10 Answered
3 circles each of radius 1 cm, touch each other externally and they lie between two parallel lines. Find the minimum possible distance between the lines.
Asked by acv27joy | 15 Dec, 2018, 16:30: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/745b6fa30b610709567c07b9ab62bb955c15385737d0b1.45963786dec1502.png)
As shown in figure, distance between two parallel lines is divided into three segments, AB, BC and CD
BC = RS = ![begin mathsize 12px style square root of R Q squared minus R S squared end root space equals space square root of 3 space end root space c m end style](https://images.topperlearning.com/topper/tinymce/cache/4a0021f6800b70464357a5cd3838923e.png)
![begin mathsize 12px style square root of R Q squared minus R S squared end root space equals space square root of 3 space end root space c m end style](https://images.topperlearning.com/topper/tinymce/cache/4a0021f6800b70464357a5cd3838923e.png)
AD = AB+BC+CD = 1 + √3 + 1 = ( 2+√3 ) cm
Answered by Thiyagarajan K | 15 Dec, 2018, 22:59: PM
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