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Statement I If tan^(-1) x + tan^(-1) y ...

Statement I If ` tan^(-1) x + tan^(-1) y = pi/4 - tan^(-1) z " and " x + y + z = 1 ` , then arithmetic mean of odd powers of x, y, z is equal to 1/3 .
Statement II For any x, y, z we have
` xyz - xy - yz - zx + x + y + z = 1 + ( x - 1) ( y - 1) ( z - 1) `

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The correct Answer is:
b
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