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The domain of the function $f (x) = \frac{1}{\sqrt{{}^{10}{C_{x - 1}} - 3 \times^{10} C_{x}}}$ is

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{9, 10, 11}

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Correct option is D

Given function is defined if Cx-1 10>3 10Cxor 111-x>3x or 4x>33or x≥9But 10 ≥ x-1 .and 10≥x so x≤10∴ x=9, 10

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The domain of the function fx=1Cx-1 10-3× 10Cx is

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The domain of the function $f (x) = \frac{1}{\sqrt{{}^{10}{C_{x - 1}} - 3 \times^{10} C_{x}}}$ is