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Byju's Answer

Standard VII

Mathematics

Parallel Lines

There are fou...

Question

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?

$l_{1} ⊥ l_{4}$

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$l_{1} ∥ l_{4}$

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$l_{2} ∥ l_{4}$

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$l_{3} ⊥ l_{2}$

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Solution

The correct options are
B
$l_{1} ∥ l_{4}$

C
$l_{2} ∥ l_{4}$

D
$l_{3} ⊥ l_{2}$

So, $l_{1} ∥ l_{4}$ ; $l_{2} ∥ l_{4}$ ; $l_{3} ⊥ l_{2}$

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Similar questions

Match the equations A, B, C, D with the lines L₁, L₂, L₃, L₄, L₅ whose graphs are roughly drawn in the adjoining figure.

A: y = 2

B: y – 2 + 2 = 0

C: 3 + 2y = 6

D: y = -2

E : = 2

Q. If line

l_{1} ⊥ l_{2}

and

l_{2} ⊥ l_{3}

then what is relationship between

l_{1}

and

l_{3}

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

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:

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There are four lines such that, line l1∥l2, line l3⊥l1 and line l4⊥l3 then which of the following option(s) is/are true?

The correct options are B l1∥l4 C l2∥l4 D l3⊥l2 So, l1∥l4; l2∥l4; l3⊥l2

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 correct options are
B
$l_{1} ∥ l_{4}$

C
$l_{2} ∥ l_{4}$

D
$l_{3} ⊥ l_{2}$

So, $l_{1} ∥ l_{4}$ ; $l_{2} ∥ l_{4}$ ; $l_{3} ⊥ l_{2}$