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Question

# If a circle is drawn with centre 'C' (0,4) and radius 5 cm as shown in figure then the coordinates of R and S are___

A

R=(-3,0)
S=(3,0)

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B

R=(3,0)
S=(-3,0)

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C

R=(5,0)
S=(-5,0)

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D

R=(-5,0)
S=(5,0)

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Solution

## The correct option is B R=(3,0) S=(-3,0) Given the centre of circle 'C' =(0,4) and radius =5 cm Let P(x,y) be a point on the circle ∵ The distance between centre to any point on the circle is equal to the radius of the circle. ⇒√(x−0)2+(y−4)2=5 From the diagram we can see R and S are the points on the X-axis. ∴ put y =0 in the above equation. ⇒√x2+42=5 ⇒x2+42=52 ⇒x2=52−42 =32 ⇒x=±3 ∴ Points are (3,0) and (-3,0) ∴ R =(3,0) and S =(-3,0)

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