UPSEE Solved Model Paper 4

The equation of the straight lines are
3x − 4y + 7 = 0 ... (1)
and
− 12x − 5y + 2 = 0 ... (2)
Here (3) ( − 12) + ( − 4) ( − 5) + (7) (2) = − 36 + 20 + 14 = − 2 < 0.
∴ it makes acute angle.
∴ equation of the bisector of an acute angle between these lines is

3x−4y+7

√32+42

= +

(−12x−5y+2)

√(12)2+(5)2

⇒ 99x − 27y + 81 = 0
⇒ 11x − 3y + 9 = 0.