Question

Show that y-axis bisects the line segment joining A (-5,7) and B (5,2)

plz send a pic of the solution..​

Answer 1

SOLUTION

TO PROVE

y-axis bisects the line segment joining A (-5,7) and B (5,2)

EVALUATION

Here the given two points are A (-5,7) and B (5,2)

Let C be the mid point of the line joining the points A and B

Then the coordinates of C is

$\displaystyle \sf{ = \bigg( \: \frac{ - 5 + 5}{2} \:, \: \frac{7 + 2}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \: \frac{0}{2} \:, \: \frac{9}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \: 0\:, \: \frac{9}{2} \bigg)}$

Since abscissa of the mid point = 0

So we can conclude that y-axis bisects the line segment joining A (-5,7) and B (5,2)

Hence proved

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