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Mathematics
TEST : 60
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# CBSE 11th Mathematics
Prepare / Learn
Q1.
If
b
2
+
c
2
=
3
a
2
,
then cot B + cot C - cot A =
A.
a
b
4
Δ
B.
a
c
4
Δ
C.
0
D.
1
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 12th Maths
Prepare / Learn
Q2.
If
f (x)
=
x / x
+1 , then its differential is given by
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 11th Maths
Prepare / Learn
Q3.
A.
sinA + sinB + sinC
B.
1
C.
0
D.
cosA + cosB + cosC
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q4.
The area of the region between the curve y = 4 –
x
2
,
0
⩽
x
⩽
3
and the x –axis is equal to
A.
3
B.
23/3
C.
7/3
D.
16/3
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
y =
4
−
x
2
>
0
⇒
−
2
<
x
<
2
And
y
=
4
−
x
2
<
0
⇒
x
<
−
2
o
r
.
.
.
x
>
2
Required area:
=
∫
0
2
(
4
−
x
2
)
d
x
+
∣
∣
∣
∫
2
3
(
4
−
x
2
)
d
x
∣
∣
∣
=
16
3
+
∣
∣
−
7
3
∣
∣
=
23
3
s
q
.
u
n
i
t
s
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# CBSE 11th Mathematics
Prepare / Learn
Q5.
The equation xy = 0 in three dimensional space represents
A.
a plane
B.
a pair of planes at right angles
C.
a pair of straight lines
D.
a pair of parallel lines
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
since xy=0 implies x=0 or y=0.i.e YZ plane or XZ plane.Hence it represents a pair of planes at right angles
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# CBSE 12th Mathematics
Prepare / Learn
Q6.
A square matrix A is called idempotent if
A.
A
2
=
O
B.
2A=I
C.
A
2
=A
D.
A
2
=
I
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
If the product of any square matrix with itself is the matrix itself , then the matrix is called Idempotent.
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 11th Maths
Prepare / Learn
Q7.
∫ 2
3 x+5
dx is
A.
B.
C.
D.
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 12th Maths
Prepare / Learn
Q8.
If |
z
1
|
=
1, |
z
2
|
=
2, |
z
3
|
=
3 and | 9
z
1
z
2
+
4
z
1
z
3
+
z
2
z
3
|
=
12 , then the value of |
z
1
+
z
2
+
z
3
| is
A.
1
B.
2
C.
3
D.
4
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 12th Maths
Prepare / Learn
Q9.
If
= 90 then
n
is
A.
10
B.
5
C.
8
D.
9
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Under Graduate Entrance Exams
# IIT JEE IEEE Entrance Exam
# Mathematics
# TN 11th Maths
Prepare / Learn
Q10.
The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is
A.
2 x
11
C
7
+
10
C
8
B.
11
C
7
+
10
C
8
C.
12
C
8
-
10
C
6
D.
10
C
6
+ 2!
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
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Mathematics
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Relations and Functions
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Chapter 1: Applications of Matrices and Determinants
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