Question

find the value of a,for which point p(a,2)is the midpoint of the line segment joining the point Q(-5,4) and R(-1,0)

Answer 1

a=-3
................... .

Answer 2

Given point P(a,2) is the mid point of the line QR.

We have midpoint formula=
(X1+X2/2,Y1+Y2/2)
Thus here (X1,Y1) = Q(-5,4)
And (X2,Y2)= R(-1,0)
Substituting in the formula we get.
(a,0) = (-5-1/2,4+0/2)
(a,0)=(-3,2)
Equating the ordinates we get
a=-3

Hope this helps.


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