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Find the number of integral ordered pair (x, y) satisfying the equation tan-1(1/x) + tan-1(1/y) + tan-1(1/10)

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Best answer

Given, tan-1(1/x) + tan-1(1/y) + tan-1(1/10)

Thus, there are four ordered pairs

(11, 111), (111, 11), (9, -91), (-91, 9)

satisfying the above equations.

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