Q. 175.0( 1 Vote )

# Prove that the po

Formula used:

Let the point A (0, –5), B (4, 3) and C (–4, –3) lie on the circle with center O (0, 0)

Distance of AO

AO = √ ((0 – 0)2 + (0 – (–5))2)

AO = √ ((0 – 0)2 + (0 + 5)2)

AO = √ ((0)2 + (5)2)

AO = √ (0 + 25)

AO = √ 25

AO = 5

Distance of BO

BO = √ ((0 – 4)2 + (0 – 3)2)

BO = √ ((–4)2 + (–3)2)

BO = √ (16 + 9)

BO = √ 25

BO = 5

Distance of CO

CO = √ ((0 – (–4))2 + (0 – (–3))2)

CO = √ ((0 + 4)2 + (0 + 3)2)

CO = √ ((4)2 + (3)2)

CO = √ (16 + 9)

CO = √ 25

CO = 5

AO = BO = CO = 5 = Radius

Hence, point A, B and C lie on the circle.

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