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Standard XII
Mathematics
Question
If
f
=
{
(
a
,
0
)
,
(
b
,
−
2
)
,
(
c
,
3
)
}
,
g
=
{
(
a
,
−
2
)
,
(
b
,
0
)
,
(
c
,
1
)
}
then
f
g
=
does not exist
{
(
a
,
−
1
)
,
(
b
,
−
2
)
,
(
c
,
4
)
}
{
(
a
,
0
)
,
(
c
,
3
)
}
{
(
a
,
3
)
,
(
b
,
−
2
)
,
(
c
,
2
)
}
A
does not exist
B
{
(
a
,
3
)
,
(
b
,
−
2
)
,
(
c
,
2
)
}
C
{
(
a
,
−
1
)
,
(
b
,
−
2
)
,
(
c
,
4
)
}
D
{
(
a
,
0
)
,
(
c
,
3
)
}
Open in App
Solution
Verified by Toppr
f
=
{
(
a
,
0
)
,
(
b
,
−
2
)
,
(
c
,
3
)
}
and
g
=
{
(
a
,
−
2
)
,
(
b
,
0
)
,
(
c
,
1
)
}
Implies
f
(
a
)
=
0
f
(
b
)
=
−
2
f
(
c
)
=
3
Similarly
g
(
a
)
=
−
2
g
(
b
)
=
0
g
(
c
)
=
1
Consider a function
h
(
x
)
=
f
(
x
)
g
(
x
)
Then
h
(
a
)
=
f
(
a
)
g
(
a
)
=
0
−
2
=
0
...(i)
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3
Similar Questions
Q1
If
f
=
{
(
a
,
0
)
,
(
b
,
−
2
)
,
(
c
,
3
)
}
,
g
=
{
(
a
,
−
2
)
,
(
b
,
0
)
,
(
c
,
1
)
}
then
f
g
=
View Solution
Q2
If
f
and
g
are differentiable functions in
[
0
,
1
]
satisfying
f
(
0
)
=
2
=
g
(
1
)
,
g
(
0
)
=
0
and
f
(
1
)
=
6
, then for some
c
∈
[
0
,
1
]
:
View Solution
Q3
Let
A
=
{
1
,
2
,
3
}
,
B
=
{
a
,
b
,
c
}
and If
f
=
{
(
1
,
a
)
,
(
2
,
b
)
,
(
3
,
c
)
}
,
g
=
{
(
1
,
b
)
,
(
2
,
a
)
,
(
3
,
b
)
}
,
h
=
{
(
1
,
b
)
(
2
,
c
)
,
(
3
,
a
)
}
then
View Solution
Q4
If
a
x
2
+
2
b
x
+
3
c
=
0
,
a
≠
0
,
c
>
0
does not have any real roots, then which of the following is/are true?
View Solution
Q5
If
A
=
⎡
⎢
⎣
1
2
−
3
5
0
2
1
−
1
1
⎤
⎥
⎦
,
B
=
⎡
⎢
⎣
3
−
1
2
4
2
5
2
0
3
⎤
⎥
⎦
,
C
=
⎡
⎢
⎣
4
1
2
0
3
2
1
−
2
3
⎤
⎥
⎦
, Then Compute
(
A
+
B
)
and
(
B
−
C
)
. Also, verify that
A
+
(
B
−
C
)
=
(
A
+
B
)
−
C
View Solution