First slide

Equation of line in Straight lines

Question

The equation of the bisector of the angle between the lines x-7y+5=0, 5x+5y-3=0 which is the supplement of the angle containing the origin will be

Moderate

A

x+3y-2=0
B

x-3y+2=0
C

3x-y+1=0
D

3x+y+2=0

Solution

Bisector not containing origin is
$\frac{a_{1} x + b_{1} y + c_{1}}{\sqrt{a_{1}^{2} + b_{1}^{2}}} = - \frac{a_{2} x + b_{2} y + c_{2}}{\sqrt{a_{2}^{2} + b_{2}^{2}}}$
$(∵ c_{1}, c_{2} h a v e o p p o s i t e s i g n s)$

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