Straight Line and Pair of Straight Lines 1 Question 32

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

(1998,2M)

(a) a=2,b=4

(b) a=3,b=4

(c) a=2,b=3

(d) a=3,b=5

Show Answer

Solution:

  1. 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+52=4+a2 and 2+72=6+b2⇒a=2 and b=3.

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