Maths / Coordinate Geometry / Mid Point Formula

QUESTION

The the mid point  of the line joining point $A (1,2)$ and $B (8,6)$. What are the coordinates of the mid point

 OPTIONS A. $\dpi{120} \fn_jvn \large (16,16)$ B. $\dpi{120} \fn_jvn \large (4.5,4)$ C. $\dpi{120} \fn_jvn \large (-4,-1)$ D. $\dpi{120} \fn_jvn \large (12,11)$
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

For the mid point

$\dpi{120} \fn_jvn \large x=\frac{x_1+x_2}{2}\: and\: y=\frac{y_1+y_2}{2}$

$\dpi{120} \fn_jvn \large x=\frac{1+8}{2}\: and\: y=\frac{2+6}{2}$

$\dpi{120} \fn_jvn \large x=\frac{9}{2}\: and\: y=\frac{8}{2}$

$\dpi{120} \fn_jvn \large The \: coordinates \: are (\frac{9}{2},4)$

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