If $2x+3y+12=0$ and $x-y+ 4 \lambda=0$ are conjugate with respect to the parabola $y^2=8x$ then $\lambda=$

Question

$$\begin {array} {1 1} (1)\;2 & \quad (2)\;-2 \\ (3)\;3 & \quad (4)\;-3 \end {array}$$