Question

find the distance between (a,3b) (-a,-3b)​

Answer 1

$\boldsymbol {\underline{Solution:-}}$

$\bull \boldsymbol{ \underline{ \green{Formula \: \: Used:-}}}$

$\bf \huge \red{\: d \: = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_ -1)}^{2} }}$

Here,

(a,3b)(-a,-3b)

$\bf \bull \: x_1 = a$

$\bf \bull \: y_1=3b$

$\bf \bull \: x_2 = - a$

$\bf \bull \: y_ 2= - 3b$

Answer :

$\longmapsto \pink {d \: = \sqrt{ {( - a - a)}^{2} + {(3b - 3b)}^{2} } }$

$\longmapsto \pink {d \: = \sqrt{ {( - 2a)}^{2} + {( - 6b)}^{2} } }$

$\longmapsto \pink {d \: = \sqrt{ {4a}^{2} + 3 {6b}^{2} } }$