Question

Find the distance between the points given. (-10, 3) and (-10, 12) √(17) 9 15

Answer 1

Answer:

The Third option is correct 9 .

Therefore the distance between the points given. (-10, 3) and (-10, 12) is

9 units.

Step-by-step explanation:

Given:

Consider,

point A( x₁ , y₁) ≡ ( -2 ,-2 )  

point B( x₂ , y₂) ≡ ( 4 , -10 )

To Find:

Distance between AB = ?

Solution:

Distance Formula between Two point is given as

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((-10-(-10))^{2}+(12-3)^{2} )}$

$l(AB) = \sqrt{((-10+10))^{2}+(9)^{2} )}$

$l(AB) = \sqrt{(0)^{2}+81}\\l(AB)=\sqrt{81}=9\\l(AB)=9\ unit$

Therefore the distance between the points given. (-10, 3) and (-10, 12) is

9 units.