Let P=(−1,0), Q=(0,0) and R=(3,33) be three points. Then, the equation of the bisector of the angle PQR is

The bisector of angle PQR divides PR in. the ratio PQ : QR i.e. 1 : 6. So, the coordinates of the point of division are  1×3+6×−11+6,1×33+6×01+6=−37,337Clearly, required bisector passes through Q (0, 0) and (-3/7, 33/7). So, its equation is y−0=337−0−37−0(x−0)⇒y=−3x⇒3x+y=0.