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Condition for 2 Lines to Be Parallel

Line l1 is pa...

Question

Line $l_{1}$ is parallel to $l_{2}$ and line $l_{2}$ is parallel to $l_{3}$ , then line $l_{1}$ is parallel to $l_{3}$

A

False

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B

True

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Solution

The correct option is A False

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Q. Consider the following statements relating to 3 lines

L_{1}

L_{2}

L_{3}

in the same plane
(1). If

L_{2}

L_{3}

are both parallel to

L_{1}

, then they are parallel to each other.
(2). If

L_{2}

L_{3}

are both perpendicular to

L_{1}

, then they are parallel to each other.
(3). If the acute angle between

L_{1}

L_{2}

is equal to to acute angle between

L_{1}

L_{3}

L_{2}

L_{3}

.

Of these statements:

The representation of $l_{1} parallel to l_{2}$ and $l_{3} perpendicular to l_{2}$ is respectively,

l_{1}

is perpendicular to line

l_{2}

l_{2}

is perpendicular to line

l_{3 .}

Then, what can be said about lines

l_{1}

l_{3 .}

l_{1} ⊥ l_{2}

l_{2} ⊥ l_{3}

then what is relationship between

l_{1}

l_{3}

l_{1}, l_{2}

l_{3}

in fig. 2 are parallel. The value of

x

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