Q1 of 84 Page 114

Find the distance between the following pairs of points.

(−2, −3) and (3, 2)

Formula used:


(–2, –3) and (3, 2)


x1 = –2 and x2 = 3


y1 = –3 and y2 = 2


⇒ D = √ ((3 – (–2))2 + (2 – (–3))2)


⇒ D = √ ((3 + 2)2 + (2 + 3)2)


⇒ D = √ ((5)2 + (5)2)


⇒ D = √ (25 + 25)


⇒ D = √ 50


⇒ D = √ (5 × 5 × 2)


⇒ D = 5√ 2


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