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Standard IX

Mathematics

First Four Postulates

Line l1 is pe...

Question

Line $l_{1}$ is perpendicular to line $l_{2}$ and line $l_{2}$ is perpendicular to line $l_{3 .}$
Then, what can be said about lines $l_{1}$ and $l_{3 .}$

They are perpendicular

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They are parallel

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They are coincident

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Nothing can be said.

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Solution

The correct option is B They are parallel
Lines l1 and l3 will be parallel.

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Similar questions

Q. If line

l_{1} ⊥ l_{2}

and

l_{2} ⊥ l_{3}

then what is relationship between

l_{1}

and

l_{3}

Q. Consider the following statements relating to 3 lines

L_{1}

L_{2}

and

L_{3}

in the same plane
(1). If

L_{2}

and

L_{3}

are both parallel to

L_{1}

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

L_{2}

and

L_{3}

are both perpendicular to

L_{1}

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

L_{1}

and

L_{2}

is equal to to acute angle between

L_{1}

and

L_{3}

, then

L_{2}

is parallel to

L_{3}

Of these statements:

There are four lines such that, line $l_{1} ∥ l_{2}$ , line $l_{3} ⊥ l_{1}$ and line $l_{4} ⊥ l_{3}$ then which of the following option(s) is/are true?

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

Q. Let

L_{1}

, and

L_{2}

denotes the lines

\to r =^i + λ (-^i + 2^j + 2^k), λ \in R

and

\to r = μ (2^i -^j + 2^k), μ \in R

respectively.
If

L_{3}

is a line which is perpendicular to both

L_{1}

and

L_{2}

and cuts both of them, then which of the following option describe(s)

L_{3}

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Line l1 is perpendicular to line l2 and line l2 is perpendicular to line l3. Then, what can be said about lines l1 and l3.

The correct option is B They are parallelLines l1 and l3 will be parallel.

Line $l_{1}$ is perpendicular to line $l_{2}$ and line $l_{2}$ is perpendicular to line $l_{3 .}$
Then, what can be said about lines $l_{1}$ and $l_{3 .}$

The correct option is B They are parallel
Lines l1 and l3 will be parallel.