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TN State Board
TN 12th Standard
Maths
TEST : 8
TN State Board
TN 12th Standard
Maths
Chapter 12: Discrete Mathematics
Prepare / Learn
Q1.
In the set
ℚ
define
a
b
=
a
+
b
+
ab
. For what value of y, 3
(
y
5
)=
7 ?
A.
y = 2/3
B.
y
= −2/3
C.
y
= −3/2
D.
y
= 4
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 6: Applications of Vector Algebra
Prepare / Learn
Q2.
The volume of the parallelepiped with its edges represented by the vectors iˆ + ˆj, iˆ + 2 ˆj, iˆ + ˆj + π kˆ is
A.
π/2
B.
π/3
C.
π
D.
π/4
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
TN State Board
TN 12th Standard
Maths
Chapter 7: Applications of Differential Calculus
Prepare / Learn
Q3.
The slope of the line normal to the curve
f (x)
= 2 cos 4x at
x
= π/12 is
A.
−4√3
B.
−4
C.
√3 / 12
D.
4√3
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 1: Applications of Matrices and Determinants
Prepare / Learn
Q4.
If P=
is the adjoint of 3
×
3 matrix
A
and |
A
|
=
4 , then
x
is
A.
15
B.
12
C.
14
D.
11
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 8: Differentials and Partial Derivatives
Prepare / Learn
Q5.
If we measure the side of a cube to be 4 cm with an error of 0.1 cm, then the error in our calculation of the volume is
A.
0.4 cu.cm
B.
0.45 cu.cm
C.
2 cu.cm
D.
4.8 cu.cm
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 2: Complex Numbers
Prepare / Learn
Q6.
If |
z
−
2
+
i
|
≤
2 , then the greatest value of |
z
| is
A.
√3 − 2
B.
√3 + 2
C.
√5 − 2
D.
√5 + 2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 9: Applications of Integration
Prepare / Learn
Q7.
If
f (x)
=
x
∫
0
t cos t
dt
, then
df/dx
=
A.
cos
x
−
x
sin
x
B.
sin
x
+
x
cos
x
C.
x
cos
x
D.
x
sin
x
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 10: Ordinary Differential Equations
Prepare / Learn
Q8.
The solution of the differential equation
represents
A.
straight lines
B.
circles
C.
parabola
D.
ellipse
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 3: Theory of Equations
Prepare / Learn
Q9.
The number of real numbers in [0, 2
π
] satisfying sin
4
x
−
2 sin
2
x
+
1 is
A.
2
B.
4
C.
1
D.
∞
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
TN State Board
TN 12th Standard
Maths
Chapter 4: Inverse Trigonometric Functions
Prepare / Learn
Q10.
If cot
−1
x
=2π/3 for some
x
∈
R
, the value of tan
−1
x
is
A.
– π/10
B.
π/5
C.
π/10
D.
- π/5
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
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TN State Board
TN 12th Standard
Maths
TEST : 8
Maths
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Chapter 1: Applications of Matrices and Determinants
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Chapter 2: Complex Numbers
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Chapter 3: Theory of Equations
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Chapter 4: Inverse Trigonometric Functions
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Chapter 5: Two Dimensional Analytical Geometry II
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Chapter 6: Applications of Vector Algebra
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Chapter 7: Applications of Differential Calculus
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Chapter 8: Differentials and Partial Derivatives
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Chapter 9: Applications of Integration
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Chapter 10: Ordinary Differential Equations
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Chapter 11: Probability Distributions
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Chapter 12: Discrete Mathematics
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