Question

find distance between (a,a) (-a,-a)​

Answer 1

Find the horizontal and vertical distance between the points. First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.

Answer 2

Answer :-

Let A(a,a) and B(-a,-a)

By using distance Formula,

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

$= \sqrt{ {( - 2a)}^{2} + {( - 2a)}^{2} }$

$= \sqrt{4 {a}^{2} + 4 {a}^{2} }$

$= \sqrt{8 {a}^{2} }$

$= 2 \sqrt{2} {a}^{2}$

Therefore, the distance between the given points is 2√2a² units