# Analytical Geometry – Calculate parameter values in a line equation – Exercise 5513

Exercise

Calculate the values of parameters a and b given that

$$\frac{x-4b}{a}=\frac{y+b}{a-1}=\frac{z-6}{a-2}$$

Is parallel to the plain

$$x-2ay+z+10=0$$

And the distance between them is

$$\sqrt{6}$$

$$a=1$$
$$b=-\frac{5}{3} \text{ or } b=-\frac{11}{3}$$