Vectors 1 Question 8

9. Let P,Q,R and S be the points on the plane with position vectors 2i^j^,4i^,3i^+3j^ and 3i^+2j^, respectively. The quadrilateral PQRS must be a

(2010)

(a) parallelogram, which is neither a rhombus nor a rectangle

(b) square

(c) rectangle, but not a square

(d) rhombus, but not a square

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Answer:

Correct Answer: 9. (a)

Solution:

  1. mPQ=16,mSR=16,mRQ=3,mSP=3

Parallelogram, but neither PR=SQ nor PRSQ.

So, it is a parallelogram, which is neither a rhombus nor a rectangle.



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