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pointA(-1,y) and B(5,7) lie on the circle with centre O(2,-3y).Find the values of y.Hence findd the radius of the circle

pointA(-1,y) and B(5,7) lie on the circle with centre O(2,-3y).Find the values of y.Hence findd the radius of the circle

Grade:12

2 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
OA=OB → Find the value of y from this eqn using distance formula for both OA and OB. After solving for y, Find either OA or OB to be the radius of the circle.
Deepak Jindal
26 Points
7 years ago
Given, Centre of the circle is O (2, 3).A (4, 3) and B (x, 5) are two points on the circle.∴ OA = OB (Radius of the circle)Squaring on both sides, we get∴ 4 + 0 = (x – 2)2 + 4⇒ (x – 2)2 = 0⇒ x – 2 = 0⇒ x = 2Thus, the value of x is 2.

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