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EXPECTED :- MODS AND MATHS ARYABHATTA​

Answer 1

GIVEN :

Points = (-2,-3) and (3,2)

Formula of Distance :

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

From the above attachment,

x1 = -2

x2 = 3

y1 = -3

y2 = 2

Substitute the values in the formula.

$= \sqrt{ {( 3 - ( - 2)}^{2} + {(2 - ( - 3)}^{2} } \\ \\ = \sqrt{ {( 3 + 2)}^{2} + {(2 + 3)}^{2} } \\ \\ = \sqrt{ {( 5)}^{2} + {(5)}^{2} } \\ \\ = \sqrt{25 + 25} \\ \\ = \sqrt{50}$

Therefore, √50 is the distance between the points.