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Question

If a circle is drawn with centre 'C' (0,8) and radius 10 cm as shown in figure then the coordinates of R and S are___



Your Answer
A

R=(-6,0)
S=(6,0)

Correct Answer
B

R=(6,0)
S=(-6,0)

Your Answer
C

R=(10,0)
S=(-10,0)

Your Answer
D

R=(-10,0)
S=(10,0)


Solution

The correct option is C

R=(6,0)
S=(-6,0)


Given the centre of circle 'C' =(0,8) and radius =10 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.

(x0)2+(y8)2=10

From the diagram we can see R and S are the points on the X-axis.

put y =0 in the above equation.

x2+82=10

x2+82=102

x2=10282

=62

x=±6

Points are (6,0) and (-6,0)

R =(6,0) and S =(-6,0)

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