**Correct option (B) 9x + 46y = 28**

**Explanation :**

See Fig. Let L_{1} *≡* 3x + 2y + 4 = 0, L *≡ *2x + 3y + 1 = 0 and L_{2} *≡* 0 be the required lines. Since the line L_{2} *≡* 0 passes through the intersection of the lines L*≡* 0, and L_{2} = 0

Suppose (*α,**β*) (*≠* the intersection of L_{1} = 0 and L_{1} = 0 and L = 0) is a point on the L = 0 so that

2*α + 3β + 1 = 0 ....(1)*

But L = 0 is an angular bisection of L_{1} = 0 and L_{2} = 0 which implies that

Therefore, λ = 0 gives the line L_{1} = 0 and λ = -24/13 gives the line

Therefore, the required line is L_{2} *≡ *9x + 46y - 28 = 0.