QJEEM06Mabf17: JEE Main 2006 Mathematics - Class 12 JEEM06Mabf17 Solution: The two lines x = a y + b , z = c y + d ; and x = a ′ y + b ′ , …

Question

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The two lines

x = a y + b, z = c y + d;

and

x = a^{'} y + b^{'},

z = c^{'} y + d^{'}

are perpendicular to each other if :

Accepted Answer

Equation of lines

\frac{x - b}{a} = \frac{y}{1} = \frac{z - d}{c}

\frac{x - b^{'}}{a^{'}} = \frac{y}{1} = \frac{z - d^{'}}{c^{'}}

Line are perpendicular

\Rightarrow a a^{'} + 1 + c c^{'} = 0

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