Maths Olympiad Daily Problems
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This channel is created for maths lovers and maths Olympiad aspirants who loves to solve daily some good level of thinking problems in maths.also we discuss those problems https://t.me/mathproblemsdiscussiongroup and we can send our doubts in maths.
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Two circles ΟA and ΟB have centers at points A and B
respectively and intersect at points P and Q in such a way that A, B, P, and Q all lie on
a common circle Ο. The tangent to Ο at P intersects ΟA and ΟB again at points X and Y
respectively. Suppose AB = 17 and XY = 20. The sum of the radii of ΟA and ΟB can be
expressed in the form m
β
n, where m and n are positive integers, and n is not divisible by the
square of any prime. Find m + n.
