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

Option: 1

\mathrm{3 x+11 y-4=0}


Option: 2

\mathrm{99 x-27 y-2=0}


Option: 3

\mathrm{3 x+11 y+4=0}


Option: 4

\mathrm{99 x+27 y-2=0}


Answers (1)

best_answer

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

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

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Gaurav

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