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अर्कज
Subject: Maths
, asked on 11/5/18
Example 11
Q.11. A function out of the following whose period is not
π
is
(a)
sin
2
x
(b)
cos
2
x
(c) tan (2x + 3)
(d) y =
sin
x
Ans. (c)
Solution: y =
sin
2
x
=
1
2
1
-
cos
2
x
. Since period of cos x is 2
π
so period of cos 2x is
π
.
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 10:
Example 10: Which of the following functions is bounded
a
y
=
1
-
log
10
x
b
y
=
e
-
2
x
c
y
=
sin
-
1
2
x
+
1
d
y
=
tan
4
x
+
1
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 9
Q.9. The domain of y =
cos
-
1
1
-
2
x
4
is
(a)
-
3
2
,
5
2
(b)
-
1
,
1
(c)
0
,
2
(d)
-
1
2
,
3
2
Ans. (a)
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 8:
Example 8: The domain of the function f(x) log
2
sin x is
a
R
b
R
~
n
π
:
n
∈
I
c
R
~
n
π
:
n
∈
N
d
∪
n
∈
I
2
n
π
,
2
n
+
1
π
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 7:
The relation a R b defined by a is factor of b on N is not
(A) reflexive
(B) transitive
(c) anti symmetric
(d) symmetric
Ans. (d)
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 6
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 5
Example 5: If
x
2
+
x
3
=
5
x
6
, then x is any term of the following.
(a) 3,6,9,12....... (b) 9,18,27,36............
(c) 6,12,18,24..... (d)
6
5
,
12
5
,
18
5
,
.
.
.
.
.
.
.
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 4:
Example 4: If, B
⊂
≠
A' then which of the following sets is equal to A'.
a
A
∩
B
∪
B
b
A
∩
B
∪
A
'
c
A
∪
B
∩
A
'
d
A
∪
B
∩
B
Answer
1
अर्कज
Subject: Maths
, asked on 11/5/18
Example 1
Q.Example 1:
Let I be set of integers, N = the set of non-negative integers, N
p
= the set of non-positive integers. Then the sets A and B satisfying A ⌒ B =
ϕ
are
(a) A = I
~
N
p
, B = N
~
N
p
(b) A = I
~
N, B = I
~
N
P
(c) A = N
∆
Np, B = I
~
N
P
(d) A = N
∆
N
P
, B = (I
~
N) ∪ {0}
Ans : (b)
Answer
1
Shiethal Xi
Subject: Maths
, asked on 9/5/18
describe the following in rooster form
X is an element of R :X>X (RD sharma pg1.6 qno.1 pat V)
Answer
1
Shiethal Xi
Subject: Maths
, asked on 9/5/18
x is an element of R : X>X
Answer
1
Keta
Subject: Maths
, asked on 8/5/18
Is {φ} null set or singleton set?
Answer
2
Uma
Subject: Maths
, asked on 7/5/18
represent the set A = ( 0,3/5,4/5) in set builder form
Answer
1
Ms Eccentric
Subject: Maths
, asked on 2/5/18
Please solve Asap
Q. If the sum of two unit vectors
A
→
a
n
d
B
→
is also equal to a unit vector, find the magnitude of the vector
A
→
-
B
→
.
Answer
2
अर्कज ..
Subject: Maths
, asked on 1/5/18
Why phi is used here
Answer
3
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What are you looking for?
Q.11. A function out of the following whose period is not is
(a)
(b)
(c) tan (2x + 3)
(d) y =
Ans. (c)
Solution: y = . Since period of cos x is 2 so period of cos 2x is .
Example 10: Which of the following functions is bounded
Q.9. The domain of y = is
(a)
(b)
(c)
(d)
Ans. (a)
Example 8: The domain of the function f(x) log2 sin x is
(A) reflexive
(B) transitive
(c) anti symmetric
(d) symmetric
Ans. (d)
Example 5: If , then x is any term of the following.
(a) 3,6,9,12....... (b) 9,18,27,36............
(c) 6,12,18,24..... (d)
Example 4: If, BA' then which of the following sets is equal to A'.
Q.Example 1: Let I be set of integers, N = the set of non-negative integers, Np = the set of non-positive integers. Then the sets A and B satisfying A ⌒ B = are
(a) A = I Np, B = N Np
(b) A = I N, B = I NP
(c) A = N Np, B = I NP
(d) A = N NP, B = (I N) ∪ {0}
Ans : (b)
X is an element of R :X>X (RD sharma pg1.6 qno.1 pat V)
Q. If the sum of two unit vectors is also equal to a unit vector, find the magnitude of the vector .