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TANCET Anna University
EEE Electrical and Electronics Engineering
Mathematics
TEST : 6
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q1.
The function
f
(
x
)
=
∫
0
x
log
(
t
+
1
+
t
2
)
−
−
−
−
−
√
d
t
is
A.
a periodic function
B.
an even function
C.
Neither odd nor Even
D.
an odd function
View Solution
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Answer :
Option B
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# TN 11th Maths
Prepare / Learn
Q2.
The value of
is
A.
B.
C.
D.
View Solution
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Answer :
Option C
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q3.
Vector has
A.
none of these.
B.
direction
C.
magnitude as well as direction
D.
magnitude
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Answer :
Option C
Explaination / Solution:
A vector has both magnitude as well as direction.
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q4.
A coin is tossed three times, if E : head on third toss , F : heads on first two tosses. Find P(E|F)
A.
1/5
B.
1/2
C.
1/3
D.
2/3
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Answer :
Option B
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q5.
The value of
is
A.
0
B.
1/4
C.
2
D.
1/2
View Solution
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Answer :
Option D
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# TN 11th Maths
Prepare / Learn
Q6.
If A = {(x, y) : y = e
x
, x
∈
R} and B = {(x, y) : y = e
-x
, x
∈
R} then n(A
∩
B) is
A.
Infinity
B.
0
C.
1
D.
2
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Answer :
Option C
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# TN 11th Maths
Prepare / Learn
Q7.
A.
1
B.
0
C.
∞
D.
−∞
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Answer :
Option B
Explaination / Solution:
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q8.
L
t
x
→
0
1
−
cos
x
x
is equal to
A.
1
B.
none of these
C.
0
D.
1/2
View Solution
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Answer :
Option C
Explaination / Solution:
lim
x
→
0
1
−
cos
x
x
=
lim
x
→
0
(
1
−
cos
x
)
(
1
+
cos
x
)
x
(
1
+
cos
x
)
=
lim
x
→
0
s
i
n
x
x
.
sin
x
(
1
+
cos
x
)
=
0
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 11th Mathematics
Prepare / Learn
Q9.
Let P(n)P be a statement and let P(n)⇒P(n+1) for all natural numbers n , then what will the nature of P(n) ?
A.
it satisfies only all n > 1
B.
It is true for all n > m , m being a fixed positive integer
C.
true for all n
D.
Nature cannot be identified.
View Solution
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Answer :
Option D
Explaination / Solution:
Since the statement is conditional statement ( if....then).
# TANCET Anna University
# EEE Electrical and Electronics Engineering
# Mathematics
# CBSE 11th Mathematics
Prepare / Learn
Q10.
Let
P
(
n
)
be a statement
2
n
<
n
!
, where n is a natural number , then
P
(
n
)
is true for
A.
all n > 2
B.
all n < 3
C.
all n > 3
D.
all n
View Solution
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Answer :
Option C
Explaination / Solution:
Since for example n = 4 will give LHS as 16 and RHS as 4! = 1.2.3.4= 24
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