Coordinate Geometry-Parallel and Perpendicular Lines (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 1 of 1

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Question number: 1

» Coordinate Geometry » Parallel and Perpendicular Lines

Appeared in Year: 2013

MCQ▾

Question

Let v1,v2,v3,v4 be unit vectors in the xy plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true? (Model Paper)

Choices

Choice (4) Response
a.

v1+v2+v3+v4=0

b.

There exist i,j with 1i<j4 such vi+vj is in the first quadrant

c.

There exist i,j with 1i<j4 such that vivj<0

d.

There exist i,j with 1i<j4 such that vivj>0

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