If `P(1,2)Q(4,6),R(5,7),`and `S(a , b)`are the vertices of a parallelogram `P Q R S ,`then`a=2,b=4`(b) `a=3,b=4``a=2,b=3`(d) `a=1orb=-1`A. `a=2,b=4`B. `a=3,b=4`C. `a=2,b=3`D. `a=3,b=5`

If `P(1,2)Q(4,6),R(5,7),`and `S(a , b)`are the vertices of a parallelo

1.	If `P(1,2)Q(4,6),R(5,7),`and `S(a , b)`are the vertices of a parallelogram `P Q R S ,`then`a=2,b=4`(b) `a=3,b=4``a=2,b=3`(d) `a=1orb=-1`A. `a=2,b=4`B. `a=3,b=4`C. `a=2,b=3`D. `a=3,b=5`
Answer» `PQRS` is a parallelogram if and only if the mid point of the diagonals `PR` is same as that of the mid-point of `QS`. That is, if and only if `(1+5)/(2)=(4+a)/(2)` and `(2+7)/(2)=(6+b)/(2)` `impliesa=2` and `b=3`.

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If `P(1,2)Q(4,6),R(5,7),`and `S(a , b)`are the vertices of a parallelogram `P Q R S ,`then`a=2,b=4`(b) `a=3,b=4``a=2,b=3`(d) `a=1orb=-1`A. `a=2,b=4`B. `a=3,b=4`C. `a=2,b=3`D. `a=3,b=5`

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