If x - y and y - x are rational numbers- then which of the following options is correct-A- x - 0- y - 0B- both x and y can be 0C- x - 0- y can be 0D- x can be 0- y - 0

The correct option is A x ≠ 0, y ≠ 0 A rational number cannot have its denominator as 0. As x/y and y/x are rational numbers, x ≠ 0, y ≠ 0. ...

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Standard VII

Mathematics

Introduction: Rational Numbers

If x / y and ...

Question

If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following options is correct?

x ≠ 0, y can be 0

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x can be 0, y ≠ 0

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x ≠ 0, y ≠ 0

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both x and y can be 0

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Solution

The correct option is C
x ≠ 0, y ≠ 0

A rational number cannot have its denominator as 0. As $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, $x \neq 0, y \neq 0$ .

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If xy and yx are rational numbers, then which of the following options is correct?

The correct option is C x ≠ 0, y ≠ 0 A rational number cannot have its denominator as 0. As xy and yx are rational numbers, x≠0,y≠0.

If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following options is correct?

The correct option is C
x ≠ 0, y ≠ 0

A rational number cannot have its denominator as 0. As $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, $x \neq 0, y \neq 0$ .