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Question

State true or false:
Attempts to prove Euclid's fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

A
True
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B
False
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Solution

The correct option is B False
Postulate says, if a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles
many tried to prove it but at the end they had to assume something which was very closely related to the fifth postulate, they didnot form any new geometries but from where they started they ended at the same point.
B


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