Question

Radius = OA = V(2 + 1) +(-21-)) = 79 +784 =
Find the distance between the following pair of points:
(i) (-6,7) and (-1,-5)
(ii) (a + b, b + c) and (a - b,c - b)
(ii) (a sin a, -b cos a) and (-a cos a, b sin a)
(iv) (a,0) and (0,b)
Lan the distance between then​

Answer 1

$\huge\mathbb{Solution:}$

We know, distance formula of coordinate geometry = √[(x1 - x2)² + (y1 - y2)²]

•°• (i) (-6,7) and (-1,-5)

= √[(-6 + 1)² + (7 + 5)²]

= √[25 + 144]

= √169

= 13

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(ii) (a + b),(b + c) and (a - b),(c - b)

= √[(a + b - a + b) ² + (b + c - c + b)²]

= √[4b² + 4b²]

= √[2(4b²)]

= 2b√2

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