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P(a, b) is a point in the first quadrant. Circles are drawn through P touching the coordinate axes, such that the length of common chord of these circles is maximum, find the ratio a : b

aditya gupta
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  • Welcome to MSE. Your will have more chances to get help if you show what you have done, where you have stuck, etc. – user539887 Jun 27 '18 at 19:07
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    This question makes no sense. There are two unique circles passing through a point P and tangent to the axes, and the length of their common chord has no upper bound over all possible P. – greenturtle3141 Jun 27 '18 at 21:15
  • someone actually beautifully answered my question on socratic.org, and the final answer comes out to be 3±2√2, just in case anyone wants to match his answer! also, the question DOES make a lot of sense (it is from a standard recruitment exam afterall). greenturtle's inability to comprehend the depth of the question doesn't make it nonsensical. – aditya gupta Jul 18 '18 at 12:04

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