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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Let circle C₁: x^2+(y-4)^2=12 intersects circle C₂:(x-3)^2+y^2=13 at A and B . A quadrilateral A C B D is formed by tangents at A and B to both circles. Find the diameter of circumcircle of quadrilateral A C B D .

Correct answer

5

Step-by-step solution

Both circles are orthogonal to each other and C(0,4) and D(3,0) are centres and C D will diameter of circumcircle = 3^2+4^2 =5 .

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