Given the points $A (- 1, 3)$ and $B (4, 9)$ .Find the co-ordinates of the mid-point of $A B$

(\frac{5}{2}, - 3)

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(3, - 3)

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(3, \frac{- 3}{2})

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(\frac{3}{2}, 6)

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Solution

The correct option is D $(\frac{3}{2}, 6)$
$A = (- 1, 3)$ and $B = (4, 9)$
Here, $x_{1} = - 1, y_{1} = 3, x_{2} = 4$ and $y_{2} = 9$
Co-ordinates of the mid-point of $A B = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

$= (\frac{- 1 + 4}{2}, \frac{3 + 9}{2})$

$= (\frac{3}{2}, \frac{12}{2})$

$= (\frac{3}{2}, 6)$

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Given the points A(−1,3) and B(4,9).Find the co-ordinates of the mid-point of AB

The correct option is D (32,6)A=(−1,3) and B=(4,9)Here, x1=−1,y1=3,x2=4 and y2=9Co-ordinates of the mid-point of AB=(x1+x22,y1+y22) =(−1+42,3+92) =(32,122) =(32,6)

Given the points $A (- 1, 3)$ and $B (4, 9)$ .Find the co-ordinates of the mid-point of $A B$