Question

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

Answer 1

Step-by-step explanation:

As PQRS is a parallelogram so the midpoint of PR is equal to the midpoint of QS.

$\frac{1 + 5}{2} \frac{7 + 2}{2} = \frac{a + 4}{2} \frac{b + 6}{2}$

$\frac{a + 4}{2} = \frac{6}{2} \frac{b + 6}{2} = \frac{9}{2}$

a=2,b=3

Answer 2

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 Q, S .that is ,if and only if

1+5/2 = 4+a/2 and 2+7/2 = 6+b/2

= a= 2 and b= 3

Step-by-step explanation:

I hope it is helpful for you