Question

The distance between which two points is $2$ units?

• A. $(-2,-3)$ and $(-2,-4)$
• B. $(0,4)$ and $(0,6)$
• C. $(7,2)$ and $(6,2)$
• D. $(4,-3)$ and $(2,-3)$

Answer 1

Answer: (B), (D)

The correct options are
B $(0,4)$ and $(0,6)$
D $(4,-3)$ and $(2,-3)$

We know the Distance Formula $=\sqrt{{\left(x_2{x}_1\right)}^2+{\left(y_2{y}_1\right)}^2}$

The distance between the points $(2,3)$ and $(-2,-4)$ is $=\sqrt{{(2+2)}^2+{(4+3)}^2}=\sqrt{1}$

The distance between the points (0, 4) and (0, 6) is $=\sqrt{{\left(00\right)}^2+{\left(64\right)}^2}=\sqrt{4}=2$

The distance between the points $(7,2)$ and $(6,2)$ is $=\sqrt{{\left(67\right)}^2+{\left(22\right)}^2}=\sqrt{1}$

The distance between the points $(4,3)$ and $(2,3)$ is $=\sqrt{{\left(24\right)}^2+{\left(33\right)}^2}=\sqrt{4}=2$

Thus, the correct options are B and C.