Question

the distance between the points (0, 6 )and (0, - 2 )is​

Answer 1

$\large\boxed{\frak{\purple{Distance = 8 \ units}}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━

Given: Let's the given points be A(0,6) & B(0,-2).

To Find: Distance b/w these points.

Explanation:

To find the Distance the formula is given as,

$\bf\pink{\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }}$

Here,

• $\sf x_1 = 0$
• $\sf x_2 = 0$
• $\sf y_1 = 6$
• $\sf y_2 = -2$

Substituting values in the given Formula,

$\implies\sf Distance = \sqrt{(0 - 0)^2 + (-2 - 6)^2} \\\\\\\implies\sf Distance = \sqrt{0^2 + (-8)^2} \\\\\\\implies\sf Distance = \sqrt{64} \\\\\\\implies\underline{\boxed{\sf Distance = 8 \ units }}$

$\therefore$ The distance between the points (0, 6) and (0, - 2) is 8 units.

Answer 2

$\large\bf{\underline{\underline{Answer:}}}$

$\huge{\boxed{\sf{\red{Distance = 8\:units}}}}$

$\rule{400}4$

$\large\bf{\underline{\underline{Explanation:}}}$

$\large{\boxed{\sf{\pink{formula\:used\:= distance= \sqrt{(x_2 - x_1)^{2}+(y_2 - y_1)^{2}}}}}}$

Here, $\displaystyle{\sf{(x_1,y_1) = (0,6)\:and\:(x_2,y_2) = (0,-2)}}$

Substituting the values, we get,

$\displaystyle{\sf{d= \sqrt{(0-0)^{2}-(-2 - 6)^{2}}}}$

$\Rightarrow{\sf{d= \sqrt{(-8)^{2}}}}$

$\Rightarrow{\sf{d= \sqrt{64}}}$

$\Rightarrow{\sf{d= 8}}$

Hence, the distance between the points (0, 6 )and (0, - 2 ) is units.

________________________