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Question

If a circle is drawn with centre C(4,0) and radius 6 cm as shown in below figure then find the coordinates of A and B.


  1. A =(10,0) b =(-2,0)

  2. A =(-2,0) b =(10,0)

  3. A =(10,0) B =(-1,0)

  4. Both a and b


Solution

The correct option is B

A =(-2,0) b =(10,0)


Given the centre of the circle 'C' =(4,0) and the radius is 6 cm.

Now to any point on the circle, the distance from the centre is equal to the radius of the circle.

Let P(x,y) be a point on circle.

(x4)2+(y0)2=6(1)

From the diagram we can see that 'A' and 'B' the points on X-axis.

Put y=0 in eq (1)

(x4)2+0=6

(x4)2=62

x4=6 (or) x-4 =-6

x=10 (or) x=2

Points are (10,0) and (-2,0)

A=(2,0) and B =(10,0)

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