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Parallel and Intersecting Lines

If nbsp; l_...

Question

If $l_{1} ∥ l_{2}$ and $l_{2} ∥ l_{3}$ , then $l_{3} ∥ l_{1}$ .

A

False

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B

True

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l_{1} ⊥ l_{2}

l_{2} ⊥ l_{3}

then what is relationship between

l_{1}

l_{3}

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

Q. AB, AC are tangents to a parabola

y^{2} = 4 a x

l_{1}, l_{2} . l_{3}

are the lengths of perpendiculars from A, B, C on any tangent to the parabola, then

l_{1}

l_{2}

l_{2}

l_{3}

l_{1}

l_{3}

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:

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