If the straight line 2 x + 3 y + 1 = 0 bisects the angle between a pair of lines, one of which in this pair is 3 x + 2 y + 4 = 0 . Then, the equation of the other line in that pair of lines is

Step-by-step solution

Equation of required line is the image of 3 x + 2 y + 4 = 0 w.r.t. to the line 2 x + 3 y + 1 = 0 i.e., a 2 + b 2 l x + m y + n - 2 l a + m b a x + b y + c = 0     . . . i Here, a = 2 ,   b = 3 and l = 3 ,   m = 2   &   n = 4 Substituting these values in i , we get 9 x + 46 y - 28 = 0 .