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Question

Find the equation of the median through the vertex A of ΔABC whose vertices are A(2, 5), B(-4, 9) and C(-2, -1).

A
x - 5y + 23 = 0
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B
x + 5y + 23 = 0
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C
x + 5y - 23 = 0
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D
x - 5y - 23 = 0
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Solution

The correct option is A x - 5y + 23 = 0
Let AD be median on BC



The coordinates of point D are

=(422,912)

= (-3, 4)

The equation of median AD on BC is

yy1=y2y1x2x1(xx1)

y5=4532(x2)

y5=15(x2)

5y25=x2

5y25x+2=0

x+5y23=0

(x5y+23)=0

x5y+23=0

Hence, option a is correct.

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