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  • If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.       <div style="float:left; w

If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P (x, y) and x + y – 10 = 0, find the value of k.

 

 

 

 
 
 
 
 

Answers (1)

\\\text { P is a mid point of } A B \\ x=\frac{k+3}{2} \\\\ y= \frac{4+6}{2}=5 \\\\ \text{Given } \\ x + y -10 = 0 \\ \\ \frac{k+3}{2} + 5 -10 = 0 \\ \frac{k+3}{2} = 5 \\ k = 7

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