Q. 124.7( 4 Votes )
If the points A(4, 3) and B(x, 5) lie on the circle with centre 0(2, 3), find the value of x.
Answer :
The distance of any point which lies on the circumference of the circle from the centre of the circle is called radius.
∴ OA = OB = Radius of given Circle
taking square on both sides, we get-
OA2 = OB2
⇒ (2-4)2 + (3-3)2 = (2-x)2 + (3-5)2
[using distance formula, the distance between points (x1,y1) and (x2,y2) is equal to 
units.]
⇒ (-2)2 + 0 = x2-4x + 4 + (-2)2
⇒ x2-4x + 4 = 0
⇒ (x-2)2 = 0
∴ x = 2
Thus, the value of x is 2.
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