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Question 9 - Week 2 Practice | Prasnya
Q9
00:00
13 Jul 2025
Q9.
Which of the following is/are correct?
@passage
A
If
(
ℓ
1
,
ℓ
2
)
(\ell_1, \ell_2)
(
ℓ
1
,
ℓ
2
)
and
(
ℓ
2
,
ℓ
3
)
(\ell_2, \ell_3)
(
ℓ
2
,
ℓ
3
)
are in
R
2
R_2
R
2
, then
(
ℓ
1
,
ℓ
3
)
∈
R
1
(\ell_1, \ell_3) \in R_1
(
ℓ
1
,
ℓ
3
)
∈
R
1
.
B
If
(
ℓ
1
,
ℓ
2
)
∈
R
1
(\ell_1, \ell_2) \in R_1
(
ℓ
1
,
ℓ
2
)
∈
R
1
and
(
ℓ
2
,
ℓ
3
)
∈
R
2
(\ell_2, \ell_3) \in R_2
(
ℓ
2
,
ℓ
3
)
∈
R
2
, then
(
ℓ
1
,
ℓ
3
)
∈
R
2
(\ell_1, \ell_3) \in R_2
(
ℓ
1
,
ℓ
3
)
∈
R
2
.
C
If
(
ℓ
1
,
ℓ
2
)
∈
R
2
(\ell_1, \ell_2) \in R_2
(
ℓ
1
,
ℓ
2
)
∈
R
2
and
(
ℓ
2
,
ℓ
3
)
∈
R
1
(\ell_2, \ell_3) \in R_1
(
ℓ
2
,
ℓ
3
)
∈
R
1
, then
(
ℓ
1
,
ℓ
3
)
∈
R
2
(\ell_1, \ell_3) \in R_2
(
ℓ
1
,
ℓ
3
)
∈
R
2
.
D
R
2
R_2
R
2
is an equivalence relation.
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Q9
00:00
13 Jul 2025
Q9.
Which of the following is/are correct?
@passage
A
If
(
ℓ
1
,
ℓ
2
)
(\ell_1, \ell_2)
(
ℓ
1
,
ℓ
2
)
and
(
ℓ
2
,
ℓ
3
)
(\ell_2, \ell_3)
(
ℓ
2
,
ℓ
3
)
are in
R
2
R_2
R
2
, then
(
ℓ
1
,
ℓ
3
)
∈
R
1
(\ell_1, \ell_3) \in R_1
(
ℓ
1
,
ℓ
3
)
∈
R
1
.
B
If
(
ℓ
1
,
ℓ
2
)
∈
R
1
(\ell_1, \ell_2) \in R_1
(
ℓ
1
,
ℓ
2
)
∈
R
1
and
(
ℓ
2
,
ℓ
3
)
∈
R
2
(\ell_2, \ell_3) \in R_2
(
ℓ
2
,
ℓ
3
)
∈
R
2
, then
(
ℓ
1
,
ℓ
3
)
∈
R
2
(\ell_1, \ell_3) \in R_2
(
ℓ
1
,
ℓ
3
)
∈
R
2
.
C
If
(
ℓ
1
,
ℓ
2
)
∈
R
2
(\ell_1, \ell_2) \in R_2
(
ℓ
1
,
ℓ
2
)
∈
R
2
and
(
ℓ
2
,
ℓ
3
)
∈
R
1
(\ell_2, \ell_3) \in R_1
(
ℓ
2
,
ℓ
3
)
∈
R
1
, then
(
ℓ
1
,
ℓ
3
)
∈
R
2
(\ell_1, \ell_3) \in R_2
(
ℓ
1
,
ℓ
3
)
∈
R
2
.
D
R
2
R_2
R
2
is an equivalence relation.
Save
Read
Check
Details
