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  • The mid-point of the line segment joining and is

The mid-point of the line segment joining A(2a,4) and B(-2,3b) is (1,2a+1).. Find the values of a and b.

 

 
 
 
 
 

Answers (1)

Given,

Using section formula,

(1,2a+1)=\left ( \frac{2a-2}{2},\frac{4+3b}{2} \right )

Compairing x coordinate

\Rightarrow 1=\frac{2a-2}{2}\Rightarrow a=2

Compairing y coordinate

(2a+1)=\frac{4+3b}{2}\Rightarrow 2\times 2+1=\frac{4+3b}{2}

                                        \Rightarrow 10=4+3b

                                        \Rightarrow 3b=6

                                        \Rightarrow b=2

                a=2 \; &\; b=2    

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Safeer PP

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