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Every point on a number line represents ...

Every point on a number line represents as: (a) a unique real number         (b)  a natural number (c) a rational number               (d)  an irrational number

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To solve the question, we need to analyze what each option represents in relation to a number line. ### Step-by-Step Solution: 1. **Understanding the Number Line**: - A number line is a visual representation of numbers where each point corresponds to a specific number. It includes all types of numbers: natural numbers, whole numbers, integers, rational numbers, and irrational numbers. 2. **Analyzing the Options**: ...
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Knowledge Check

  • If x is a rational number and y is an irrational number, then

    A
    Both x + y and xy are necessarily irrational.
    B
    Both x + y and xy are necessarily rational.
    C
    xy is necessarily irrational, but x + y can be either rational or irrational.
    D
    x+y is necessarily irrational, but xy can be either rational or irrational.
  • If x be a rational number and y be an irrational number, then :

    A
    both `x + y` and `xy` are necessarily irrational
    B
    both `x + y` and `xy` are necessarily rational
    C
    `xy` is necessarily irrational, but x + y can be either rational or irrational
    D
    `x + y` necessarity irrational , but xy can be either rational or irrational
  • The multiplication of a rational number x and an irrational number y is

    A
    always rational
    B
    rational except when `y = pi`
    C
    always irrational
    D
    irrational except when ` x = 0 `
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    Reciprocal of every rational number is a rational number.

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