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CBSE 11TH MATHEMATICS - Online Test
cbse 11th mathematics
TEST : 80
Relations and Functions
Prepare / Learn
Q1.
If f(x) =
x
x
−
1
=
1
y
,
,
then f (y) =
A.
1+x
B.
1-x
C.
x
D.
x-1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
Probability
Prepare / Learn
Q2.
A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive is
A.
2/ 16
B.
1/ 16
C.
1/ 4
D.
3/ 16
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q3.
The function f (x) = log
(
1
+
x
1
−
x
)
satisfies the equation
A.
f
(
x
1
)
+
f
(
x
2
)
=
f
(
x
1
+
x
2
)
B.
f
(
x
)
+
f
(
x
+
1
)
=
f
(
x
2
+
x
)
C.
f
(
x
1
)
+
f
(
x
2
)
=
f
(
x
1
+
x
2
)
D.
f
(
x
1
)
+
f
(
x
2
)
=
f(
x
1
+
x
2
/1+
x
1
x
2
)
x
2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Probability
Prepare / Learn
Q4.
If the letters of the word ‘ INDEPENDENCE ‘ are written down at random in a row , then the chance that no two E’s occur together is
A.
14/ 55
B.
1/ 55
C.
None of these
D.
54/ 55
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q5.
If f (x + y + z) = f (x) f (y ) f (z) for all x , y z and if f (2) = 4, f’ (0) = 5 and f (0)
≠
≠
0, then f’ (2) is equal to
A.
±20
B.
±100
C.
±30
D.
±80
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
No Explaination.
Probability
Prepare / Learn
Q6.
The letters of the word ‘ASSASSIN ‘ are written at random in a row. The chance that all the similar letters occur together is
A.
none of these.
B.
1/ 14
C.
34/ 35
D.
1/ 35
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q7.
The domain of the function
1
[
x
]
+
2
x
−
x
2
−
−
−
−
−
−
√
is
A.
[0,1)
B.
[0,2]
C.
[1,2)
D.
[1,2]
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Probability
Prepare / Learn
Q8.
A person throws successively with a pair of dice. The chance that he throws 9 before he throws 7 is
A.
1/ 81
B.
1/ 9
C.
2/ 45
D.
2/ 5
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q9.
If A = {(x, y) :
x
2
+
y
2
=
5
and B = {(x, y) : 2x = 5y}, then
A
∩
B
contains
A.
no point
B.
nfinite points
C.
one-point
D.
two points
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
Relations and Functions
Prepare / Learn
Q10.
If f : R
→
R is given by f (x) = | x | and
A
=
{
x
∈
R
:
x
<
0
}
, then
f
−
1
(
A
)
equals
A.
R
B.
A U {0}
C.
ϕ
D.
A
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
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cbse 11th mathematics
TEST : 80
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