Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesIntersection of linesMedium2 min

MathematicsMediumsingle choice

Equation of angle bisector of the lines $3 x - 4 y + 1 = 0$ and $12 x + 5 y - 3 = 0$ containing the point $(1, 2)$ is

Answer:

Solution:

Since $3 \times 1 - 4 \times 2 + 1$ and $12 \times 1 + 5 \times 2 - 3$ are of the opposite sign, so required angle bisector is given by

$\frac{3 x - 4 y + 1}{5} = - (\frac{12 + 5 y - 3}{13})$

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Intersection of lines

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