Question

Find the distance of point (-a,-b) and (a, b)​

Answer 1

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◉ GIVEN:-

• (-a,-b)

• (a,b)

◉ TO FIND:-

• Distance between (-a,-b) and (a,b)

◉FORMULA USED:-

Distance between two points (x, y) and (x1,y1)

can be calculated using the formula--

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

$\therefore$

Distance between (-a,-b) and (a,b) is---

$: \longrightarrow \sqrt{ { [a - ( - a) ] }^{2} + \:[ {(b - ( - b)]}^{2} }$

$: \longrightarrow\sqrt{ {( a + a)}^{2} + {(b + b)}^{2} }$

$: \longrightarrow\sqrt{ {(2a)}^{2} + {(2b)}^{2} }$

$: \longrightarrow\sqrt{4 {a}^{2} + 4 {b}^{2} }$

$: \longrightarrow{ \huge{ \boxed{ \underline{ \purple{ \tt{\: 2 \sqrt{ {a}^{2} + {b}^{2} } }}}}}}$

HOPE IT HELPS...

Answer 2

Hope It Helps!

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