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VITEEE 2015 Paper

Section: Mathematics

Question : 96 of 120

Marks: +1, -0

Solution:

Given lines are

x = my + n, z = py + q

and x = m' y + n', z = p' y + q'

Above equations can be rewritten as

\frac{x-n}{m}

\frac{y+0}{1}

\frac{z-q}{p}

and

\frac{x-n'}{m'}

\frac{y-0}{1}

\frac{z-q'}{p'}

Lines will be perpendicular,

if mm' + 1 + pp' = 0

⇒ mm' + pp' = -1

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