# Sample quiz on length of a line segment Main home here.

1. Find the length of the line segment joining $(-1,2)$ and $(1,3)$.
$5$
$\sqrt{5}$
$2$
$1$
2. What is the length of the line segment joining the origin to the point $(-6,8)$?
$28$
$\sqrt{28}$
$\sqrt{10}$
$10$
3. Find the distance between $(1,5)$ and $(1,8)$.
$\sqrt{3}$
$\sqrt{10}$
$13$
$3$
4. Find the distance between $(\frac{1}{4},3)$ and $(-\frac{3}{4},4)$.
$\sqrt{8}$
$\sqrt{2}$
$\frac{\sqrt{5}}{2}$
$\sqrt{50}$
5. Find the distance between $(\frac{2}{7},\frac{3}{7})$ and $(\frac{3}{7},\frac{2}{7})$.
$0$
$\frac{2}{7}$
$\frac{\sqrt{2}}{7}$
$\frac{\sqrt{2}}{49}$
6. How many point(s) is(are) a distance of $3$ units from the origin, $(0,0)$?
infinite number of points
one million points
just one point
no point at all
7. For what value(s) of $a$ is the distance between $(a,1)$ and $(0,4)$ equal to $7$?
$a=\pm 24$
$a=\pm 40$
$a=\pm \sqrt{40}$
$a=-2$
8. For what value(s) of $b$ is the distance between $(1,b)$ and $(-2,3)$ equal to $5$?
$b=4$
$b=4$ or $b=-4$
$b=1$ or $b=-7$
$b=7$ or $b=-1$
9. What is the distance between $(0.1,0.2)$ and $(0.2,0.1)$?
$0.1\sqrt{2}$
$0.1\sqrt{3}$
$\sqrt{3}$
$\sqrt{2}$
10. Find the distance between $(a,-a)$ and $(-a,a)$.
$\sqrt{8a}$
$a\sqrt{8}$
$8\sqrt{a}$
$2a$