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If the Point C(K,4) Divides the Join of A(2,6) and B(5,1) in the Ratio 2:3 Then Find the Value of K.

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Question

If the point C(k,4) divides the join of A(2,6) and B(5,1) in the ratio 2:3 then find the value of k. 

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Solution

Here, the point C(k,4)  divides the join of A(2,6)  and  B(5,1)  in ratio 2:3. So

`k = (2xx5+3xx2)/(2+3)`

`=(10+6)/5`

`=16/5`

Hence , `k = 16/5`.

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Chapter 6: Coordinate Geometry - Exercises 4

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 6 Coordinate Geometry
Exercises 4 | Q 8

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