Q8 of 84 Page 117

The distance between the points (a, b) and (–a, –b) is

Formula used:


Let the point be A (a, b) and B (–a, –b)


Distance of AB


⇒ AB = √ (–a – a)2 + (–b – b)2)


⇒ AB = √ ((–2a)2 + (–2b)2)


⇒ AB = √ (4a2 + 4b2)


⇒ AB = √ 4(a2 + b2)


⇒ AB = 2√ (a2 + b2)


∴ Option D is correct.

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