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Grade 1210 grade maths

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

Profile image of divya
11 Years agoGrade 12
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2 Answers

Profile image of Ravi
11 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.
Profile image of Deepak Jindal
9 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.