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Does Euclid’s fifth postulate imply the...

Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.

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To determine whether Euclid's fifth postulate implies the existence of parallel lines, we can break down the reasoning step by step. ### Step-by-Step Solution: 1. **Understanding Euclid's Fifth Postulate**: - Euclid's fifth postulate states that if a straight line intersects two other straight lines and the sum of the interior angles on the same side of the intersecting line is less than two right angles (180 degrees), then the two lines will meet on that side if extended indefinitely. 2. **Analyzing the Condition**: ...
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Knowledge Check

  • Statement-1 : The Bohr model of the hydrogen atom does not explain the fine structure of spectral lines. and Statement-2 : The Bohr model does not take into account the spin of the electron

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-4
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-4
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

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