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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow:

Let Q be the image of the point

P(-2,1,-5)

in the plane

3x-2y+2z+1=0

[NDA II 2016]

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Question : 62 of 120

Marks: +1, -0

Consider the following:

1. The direction ratios of the line segment PQ are

< 3,-2,2 >

2. The sum of the squares of direction cosines of the line segment PQ is unity.

Which of the above statements is/are correct ?

1 only
2 only
Both land 2
Neither 1 nor 2

Solution:

From (i) above, 1 is correct.

We know that.

Sum of direction cosines of the line segment

PQ=1

.

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