Question

If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C $\left(\frac{3}{2},\frac{5}{2}\right)$, find x, y.

Answer 1

It is given that mid-point of line segment joining A and B is C

In general to find the mid-point of two pointsand we use section formula as,

So,

Now equate the components separately to get,

So,

Similarly,

So,