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UPSC NDA I 2014 Mathematics Paper

For the next three (03) items that follow:

A straight line passes through (1, -2, 3) and perpendicular to the plane

2x + 3y – z = 7

[NDA I 2014]

Question : 63 of 120

Marks: +1, -0

Solution:

Let Q(x,y,z) be the image of the point

P(1,-2,3)

and mid point is M(3,1,2)

3=\frac{x+1}{2},1=\frac{y-2}{2}

and

2=\frac{z+3}{2}

\Rightarrow x=5,y=4

and

z=1

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