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If x , y , z are natural numbers such th...

If `x , y , z` are natural numbers such that `cot^(-1)x+cot^(-1)y=cot^(-1)z` then the number of ordered triplets `(x , y , z)` that satisfy the equation is 0 (b) 1 (c) 2 (d) Infinite solutions

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To solve the problem, we need to analyze the equation given: \[ \cot^{-1} x + \cot^{-1} y = \cot^{-1} z \] ### Step 1: Rewrite the equation using tangent We can express the cotangent inverse in terms of tangent inverse: ...
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