Question

If the system of linear equations $8 x+y+4 z=-2$, $x+y+z=0$, $\lambda x-3 y=\mu$ has infinitely many solutions, then the distance of the point $\left(\lambda, \mu,-\frac{1}{2}\right)$ from the plane $8 x + y +4 z +2=0$ is :

• A. $3 \sqrt{5}$
• B. 4
• C. $\frac{26}{9}$
• D. $\frac{10}{3}$

Answer 1

Answer: (D)

$\frac{10}{3}$

Answer 2

The correct option is (D): $\frac{10}{3}$