X gt- y gt-0 and n gt- 0- Then the value of x-n - y-n isPositiveNegative

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Standard XI

Mathematics

Squaring an Inequality

x gt; y ...

Question

x > y>0 and n > 0. Then the value of $x^{n} - y^{n}$ is

Positive

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Negative

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If $x_{1}, x_{2}, . . . ., x_{n}$ are n values of a variable X and $y_{1}, y_{2}, . . . . y_{n}$ are n values of variable Y such that $y_{i} = a x_{i} + b, i = 1, . . . ., n .$ then write Var(Y) interms of Var (X).

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Q. If

a = \sum_{n = 0}^{\infty} x^{n}, b = \sum_{n = 0}^{\infty} y^{n}, c = \sum_{n = 0}^{\infty} (x y)^{n}

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Q. The value of

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for which

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is the geometric mean of

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Q. If

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then

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x > y>0 and n > 0. Then the value of xn−yn is

x > y>0 and n > 0. Then the value of $x^{n} - y^{n}$ is