2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Cartesian Product
If A= x :x -2...
Question
If
A
=
{
x
:
x
−
2
=
y
,
y
<
2
,
x
,
y
∈
W
}
and
B
=
{
y
:
x
+
3
=
y
,
x
<
3
,
x
,
y
∈
W
}
,
then
A
A
=
{
2
,
3
}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
B
=
{
3
,
4
,
5
}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(
A
−
B
)
∩
(
B
−
A
)
=
ϕ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
n
(
(
A
Δ
B
)
×
(
B
Δ
A
)
)
=
9
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
n
(
(
A
Δ
B
)
×
(
B
Δ
A
)
)
=
9
If
y
<
2
⇒
y
=
{
0
,
1
}
x
−
2
=
y
⇒
x
−
2
=
0
⇒
x
=
2
x
−
2
=
1
⇒
x
=
3
A
=
{
2
,
3
}
Now,
x
<
3
⇒
x
=
{
0
,
1
,
2
}
x
+
3
=
y
⇒
0
+
3
=
y
⇒
y
=
3
1
+
3
=
y
⇒
y
=
4
2
+
3
=
y
⇒
y
=
5
∴
B
=
{
3
,
4
,
5
}
Now,
A
−
B
=
{
2
}
,
B
−
A
=
{
4
,
5
}
(
A
−
B
)
∩
(
B
−
A
)
=
ϕ
A
Δ
B
=
(
A
−
B
)
∪
(
B
−
A
)
=
{
2
,
4
,
5
}
n
(
(
A
Δ
B
)
×
(
B
Δ
A
)
)
=
3
2
=
9
Suggest Corrections
0
Similar questions
Q.
If
X
=
{
x
:
x
=
2
n
,
x
≤
20
and
n
∈
N
}
and
Y
=
{
x
:
x
=
4
n
,
n
i
s
non-negative
x
≤
20
and
n
∈
W
}
Find
(i)
X
∪
Y
(ii)
X
∩
Y
Q.
If
A
=
{
x
:
x
∈
I
,
−
2
≤
x
≤
2
}
,
B
=
{
x
:
x
∈
I
,
0
≤
x
≤
3
}
,
C
=
{
x
:
x
∈
N
,
1
≤
x
≤
2
}
and
D
=
{
(
x
,
y
)
:
x
,
y
∈
N
,
x
+
y
=
8
}
, then
Q.
If
A
=
{
x
:
x
−
2
=
y
,
y
<
2
,
x
,
y
∈
W
}
and
B
=
{
y
:
x
+
3
=
y
,
x
<
3
,
x
,
y
∈
W
}
,
then
Q.
Write the following sets in Roster form
(i)
A
=
{
x
:
x
∈
N
,
2
<
X
≤
10
}
(ii)
B
=
{
x
:
x
∈
Z
,
−
1
2
<
X
<
11
2
}
(iii)
C
=
{
x
:
x
is a prime number and a divisor of 6 }
(iv)
X
=
{
x
:
x
=
2
n
,
n
∈
N
and
n
≤
5
}
(v)
M
=
{
x
:
x
=
2
y
−
1
,
y
≤
5
,
y
∈
W
}
(vi)
P
=
{
x
:
x
is an integer,
x
2
≤
16
}
Q.
Find the symmetric difference between the following sets.
(i)
X
=
{
a
,
d
,
f
,
g
,
h
}
,
Y
=
{
b
,
e
,
g
,
h
,
k
}
(ii)
P
=
{
x
:
3
<
x
<
9
,
x
∈
N
}
,
Q
=
{
x
:
x
<
5
,
x
∈
W
}
(iii)
A
=
{
−
3
,
−
2
,
0
,
2
,
3
,
5
}
,
B
=
{
−
4
,
−
3
,
−
1
,
0
,
2
,
3
}
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
MATHEMATICS
Watch in App
Explore more
Cartesian Product
Standard XI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app