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TN State Board
TN 12th Standard
Maths
TEST : 3
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q1.
The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is
A.
4/3
B.
4/√3
C.
2√3
D.
3/2
View Solution
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Answer :
Option C
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q2.
If a vector
lies in the plane of
and
, then
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
No Explaination.
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q3.
The position of a particle moving along a horizontal line of any time
t
is given by s (
t
) = 3
t
2
− 2
t
− 8 . The time at which the particle is at rest is
A.
t = 0
B.
t = 1/3
C.
t = 1
D.
t = 3
View Solution
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Answer :
Option B
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q4.
If A =
, B = adj A and C = 3
A
, then
=
A.
1/3
B.
1/9
C.
1/4
D.
1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q5.
If
u
(
x, y
) = e
x2+y2
, then ∂u/∂x is equal to
A.
e
x2+y2
B.
2
xu
C.
x
2
u
D.
y
2
u
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q6.
The area of the triangle formed by the complex numbers
z
,
iz
, and
z
+
iz
in the Argand’s diagram is
A.
1/2 | z |
2
B.
| z |
2
C.
3/2 | z |
2
D.
2 | z |
2
View Solution
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Answer :
Option A
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q7.
For any value of
is
A.
π/2
B.
π
C.
0
D.
2
View Solution
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Answer :
Option C
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q8.
The order and degree of the differential equation √sin
x
(
dx
+
dy
) = √cos
x
(
dx
−
dy
) is
A.
1, 2
B.
2, 2
C.
1, 1
D.
2, 1
View Solution
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Answer :
Option C
Explaination / Solution:
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q9.
A polynomial equation in
x
of degree
n
always has
A.
n
distinct roots
B.
n
real roots
C.
n
imaginary roots
D.
at most one root.
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
A polynomial of degree n always has n roots
# TN State Board
# TN 12th Standard
# Maths
# TN 12th Maths
Prepare / Learn
Q10.
is equal to
A.
2π
B.
π
C.
0
D.
tan
-1
(12/65)
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
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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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