For every line $l$ and for every point P not lying on $l$ , there exists a unique line m passing through P and parallel to $l$ .

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Solution

According to Euclid's 5th postulate, for every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l. Hence, the given statement is true.

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Similar questions

Is the statement “For every line $l$ and for every point P not lying on $l$ , there exists a unique line m passing through P and parallel to $l$ ”, true or false.

Q. For every line

l

and for every point

P

not lying on a given line

l

, there exists a unique line

m

passing through

P

and parallel to

l

is known as Playfair's axiom.

Q. For every line

l

and for every point

P

(not on

l

), there exists a unique line passing through

P

For every line l and for every point P not lying on it there exist a unique line which passes through P and is _________ to l.

Q. For every line L and for every point P not lying on a given line L, there exists _____________ passing through P and parallel to L.

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For every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l .

According to Euclid's 5th postulate, for every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l. Hence, the given statement is true.

For every line $l$ and for every point P not lying on $l$ , there exists a unique line m passing through P and parallel to $l$ .