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Topic: Chapter 4: Inverse Trigonometric Functions (Test 1)
Topic: Chapter 4: Inverse Trigonometric Functions
«
Test: 1
(current)
Test: 2
»
Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
1
The value of sin
−
1
(
cos
x
)
, 0
≤
x
≤
π
is
A.
π -
x
B.
x
- π/2
C.
π/2 -
x
D.
x
- π
Answer :
Option C
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
2
If sin
−
1
x
+
sin
−
1
y (
2
π
/3) ;
then cos
−
1
x
+
cos
−
1
y
is equal to
A.
2π /3
B.
π /3
C.
π /6
D.
π
Answer :
Option B
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
3
is equal to
A.
2π
B.
π
C.
0
D.
tan
-1
(12/65)
Answer :
Option C
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
4
If sin
−
1
x
=
2 sin
−
1
α
has a solution, then
A.
|α| ≤ (1/√2)
B.
|α| ≥ (1/√2)
C.
|α| < (1/√2)
D.
|α| > (1/√2)
Answer :
Option A
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
5
is valid for
A.
− π ≤ x ≤ 0
B.
0 ≤ x ≤ π
C.
-π/2 ≤ x ≤ π/2
D.
-π/4 ≤ x ≤ 3π/4
Answer :
Option B
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
6
If sin
-1
x
+ sin
-1
y
+ sin
-1
z
= 3
π / 2
, the value of
x
2017
+
y
2018
+
z
2019
– [ 9/
(
x
101
+ y
101
+ z
101
)] is
A.
0
B.
1
C.
2
D.
3
Answer :
Option A
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
7
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
Answer :
Option C
Explaination / Solution:
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
8
The domain of the function defined by
f
(
x
) = sin
-1
√(x-1) is
A.
[1,2]
B.
[-1,1]
C.
[0,1]
D.
[-1,0]
Answer :
Option A
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
9
If
x
=
1/5 , the value of cos
(
cos
−
1
x
+
2 sin
−
1
x
)
is
A.
– √(24/25)
B.
√(24/25)
C.
1/5
D.
-1/5
Answer :
Option D
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Topic:
Chapter 4: Inverse Trigonometric Functions
Tag:
TN 12th Maths
Q.
10
is equal to
A.
B.
C.
D.
Answer :
Option D
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Score Mark :
Mark for Correct Answer : 1 Mark for Wrong Answer : -0.33 Mark for Left Answer : 0
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Test: 2
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