Question

If mid point of the line segment joining (2a,4) and (-2,3b) is (1,2a+1), then the values of a and b are given by

• A. a=2, b=-2
• B. a=b=2
• C. a=1=b
• D. a=-2, b=2

Answer 1

The correct option is B a=b=2

Since $(1,2a+1)$ is the midpoint of line segment that means it divides line in ratio $1:1$
Now using section formula, we have
$1=\frac{2a-2}{2}$ and $(2a+1)=\frac{4+3b}{2}$
On solving we get
$a=2andb=2$