Mathematics - Vector Question with Solution | TestHub

MathematicsVectorVector equation of a line, Vector equation of the angle bisectorsMedium2 minPYQ_2003

MathematicsMediumsingle choice

The two lines $x = a y + b, z = cy + d$ and $x = a^{'} y + b^{'} z = c^{'} y + d^{'}$ will be perpendicular, if and only if

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Answer:

Solution:

$\frac{x - b}{a} = \frac{y}{1} = \frac{3 - d}{c}; \frac{x - b ^{'}}{a ^{'}} = \frac{y}{1} = \frac{3 - d ^{'}}{c ^{'}}$ For perpendicular $aa^{'} + 1 + cc^{'} = 0$

Stream:JEESubject:MathematicsTopic:VectorSubtopic:Vector equation of a line, Vector equation of the angle bisectors

⏱ 2mℹ️ Source: PYQ_2003

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