JEE Math Practice Question

Consider the system of linear equations $$x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15$$ where $$\lambda, \mu \in \mathbf{R}$$. Which one of the following statements is NOT correct ?

1. A.The system has unique solution if $$\lambda \neq \frac{1}{2}$$ and $$\mu \neq 1,15$$
2. B.The system has infinite number of solutions if $$\lambda=\frac{1}{2}$$ and $$\mu=15$$
3. C.The system is consistent if $$\lambda \neq \frac{1}{2}$$
4. D.The system is inconsistent if $$\lambda=\frac{1}{2}$$ and $$\mu \neq 1$$