Question

If $P(1,2),Q(4,6),R(5,7)$ and $S(a,b)$ are the vertices of a parallelogram $PQRS$, then

• A. $a=2,b=4$
• B. $a=3,b=4$
• C. $a=2,b=3$
• D. $a=3,b=3$

Answer 1

The correct option is C $a=2,b=3$

R.E.F image

$\frac{P+R}{2}=\frac{Q+5}{2}$

$\frac{1+5}{2}=\frac{4+a}{2}\Rightarrow a=2$

$\frac{b+6}{2}=\frac{7+2}{2}\Rightarrow b=3$