Straight Line and Pair of Straight Lines 1 Question 33

33. The diagonals of a parallelogram PQRS are along the lines x+3y=4 and 6x2y=7. Then, PQRS must be a

(a) rectangle

(b) square

(c) cyclic quadrilateral

(d) rhombus

(1998,2M)

Show Answer

Solution:

  1. Slope of line x+3y=4 is 1/3 and slope of line 6x2y=7 is 3 .

Here, 3×13=1

Therefore, these two lines are perpendicular which show that both diagonals are perpendicular.

Hence, PQRS must be a rhombus.



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