Correct option (B) 9x + 46y = 28
Explanation :
See Fig. Let L1 ≡ 3x + 2y + 4 = 0, L ≡ 2x + 3y + 1 = 0 and L2 ≡ 0 be the required lines. Since the line L2 ≡ 0 passes through the intersection of the lines L≡ 0, and L2 = 0
Suppose (α,β) (≠ the intersection of L1 = 0 and L1 = 0 and L = 0) is a point on the L = 0 so that
2α + 3β + 1 = 0 ....(1)
But L = 0 is an angular bisection of L1 = 0 and L2 = 0 which implies that
Therefore, λ = 0 gives the line L1 = 0 and λ = -24/13 gives the line
Therefore, the required line is L2 ≡ 9x + 46y - 28 = 0.