Question

Find the value of m if P(4,-2) is the midpoint of the line segment joining the points A(5m,3) and B(-m,-7).

Answer 1

Heya !!

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A(5m, 3)----------P(4, -2)----------B(-m, -7)

By Mid-Point section theorem

(x, y) = (x2+x1) / 2 , (y2+y1) / 2

(4, -2) = [ (-m + 5m) / 2 , (-7 + 3) / 2 ]

=> (4, -2) = [ (4m/2) , (-4/2) ]

=> (4, -2) = ( 2m , -2 )

So, 4 = 2m

=> m = 4/2

=> m = 2

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Hop my ans.'s satisfactory.☺