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If there are only two linear functions f...

If there are only two linear functions f and g which map `[1,2] on [4,6]` and in a `DeltaABC, c =f (1)+g (1)` and a is the maximum valur of `r^(2),` where r is the distance of a variable point on the curve `x^(2)+y^(2)-xy=10` from the origin, then sin A: sin C is

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