Question

16. If P(1, 2), Q(4, 6), R(5, 7) and S(a, b) are the vertices of a parallelogram PQRS, then 1 (a) a = 2, b = 4 (b) a = 3, b = 4
(c) a = 2, b = 3 (d) a = 3, b = 5

Answer 1

Answer:

Option C

Step-by-step explanation:

Option (3) a= 2, b=3

Given that PQRS is a parallelogram.

Note that PQRS is a parallelogram, iff, the midpoints of diagonal PR is same as that of the midpoint of Qs.

Therefore

(1+5)/2 = (4+a)/2

Hence, a = 2

Similarly,

(2+7)/2 = (6+b)/2

Hence, b= 3

Thus, a= 2 and b=3.

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Answer 2

Answer:

Option - C

Step-by-step explanation:

Option (3) a= 2, b=3

Given that PQRS is a parallelogram.

Note that PQRS is a parallelogram, iff, the midpoints of diagonal PR is same as that of the midpoint of Qs.

Therefore

(1+5)/2 = (4+a)/2

Hence, a = 2

Similarly,

(2+7)/2 = (6+b)/2

Hence, b= 3

Thus, a= 2 b= 3