CBSE Class 11-science Answered
If A(2,-3) B(-1,4) and C(5,-2) are vertices of triangle. Find the equation of a median through vertex 'B'
Asked by raistar7042 | 02 Dec, 2023, 13:22: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/69ebb055fd9f17ef157309d1e08e337d656b07e3295082.78350749f4.png)
Coordinates of Mid point D of A(2,-3) and C(5,-2) = [ (2+5)/2 , -(3+2)/2 ] = [ 3.5 , -2.5 ]
Median from vertex B(-1,4 ) is the equation of line passing through B(-1,4) and D(3.5, -2.5) which is determined as given below
Equation passing through (x1 , y1 ) and ( x2 , y2 ) is
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/752b46f0ddd5715c5387c28326289236656b0be153cfa7.83572470f5.png)
Hence we get equation passing through B(-1, 4 ) and D(3.5, -2.5) is
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/140b0d78a5155be39efff0625c4fca1a656b0ea745daf3.27356414f6.png)
Above expression is simplified as 13 x + 9 y - 23 = 0
equation passing through B(-1, 4 ) and D(3.5, -2.5) is 13 x + 9 y - 23 = 0
Answered by Thiyagarajan K | 02 Dec, 2023, 16:37: PM
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