Question

the distance between the points (a,b) (-a,b) is​

Answer 1

$\huge \{ \boxed{ \bold{Answer}} \}$

Here Let A=(a,b) and B=(–a,b)

Using distance formula we have:

$\bold{ AB => \sqrt{( {a - ( - a))^{2} } + ( {b - b})^{2} }}$

$\bold{ = AB = > \sqrt{ {(2a)}^{2} + {(0)}^{2} }}$

$\bold{ = >AB = { ({ \sqrt{4a}}) }^2}$

$\bold{ = > AB = {2a}^{2 \times \frac{1}{2} }}$

$\bold{ = > AB = 2a}$