Question

Find the distance between the points A(8, -2) and B(3, -6)
बिन्दुओं A(8, 2) व B(3,6) के बीच की दूरी ज्ञात कीजिए।​

Answer 1

GIVEN :

Points = A(8, -2) and B(3, -6)

Distance Formula :

$= \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

x1 = 8 x2 = 3 y1 = -2 y2 = -6

$= \sqrt{ {(3 - 8)}^{2} + {( - 6 + 2)}^{2} } \\ \\ = \sqrt{ {( - 5)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ {5}^{2} + {4}^{2} } \\ \\ = \sqrt{ {9}^{2} } \\ \\ = 9$

Therefore, the distance is 9.

Answer 2

Answer :-

9

Explanation :-

Points are A(8,-2) and B(3,-6)

We have formula :-

$\mathsf{\huge{\underline{\boxed{\sqrt{(x2 - x1)^2 + (y2 -y1)^2}}}}}$

put these values

» $\sqrt{(3-8)^2 + (-6 + 2)^2}$

» $\sqrt{(-5)^2 + (-4)^2}$

» $\sqrt{5^2+4^2}$

» $\sqrt{9^2}$

» ${9}$

So, the distance between A and B is 9