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Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q.69. A={2,3,4, ..., 10) and B is the range of the relation
R
=
{
(
x
,
y
)
:
x
,
y
∈
A
, x is a divisor of y such
that
x
≠
y
}
, then the number of relations from B to A - B is
2
15
2
18
2
20
2
30
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q
.
70
I
f
f
x
=
3
x
-
1
2
x
+
1
,
x
≠
-
1
2
a
n
d
f
a
=
5
,
t
h
e
n
f
a
2
is
equal
to
(
A
)
16
(
B
)
-
10
(
C
)
8
(
D
)
-
16
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q
71
.
A
f
u
n
c
t
i
o
n
f
x
d
e
f
i
n
e
d
a
s
f
x
=
2
x
i
f
x
∈
Q
x
2
+
5
i
f
x
∉
Q
,
t
h
e
n
t
h
e
p
r
o
d
u
c
t
o
f
t
h
e
p
r
e
-
i
m
a
g
e
s
o
f
8
a
n
d
14
,
i
s
a
28
b
-
84
c
-
28
3
d
756
Answer
1
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q.72. A function f (x) = max{x - [x], - x - [- x]}, where [.] denotes the greatest integer function, and an another function is g (x) = 2
x
2
- 1, then the number of solutions of the equation f (x) = g (x) is
Choose one:
A. 0
B. 1
C. 2
D. 3
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q
.
73
T
h
e
s
o
l
u
t
i
o
n
o
f
t
h
e
e
q
u
a
t
i
o
n
2
x
+
3
x
=
6
,
w
h
e
r
e
.
d
e
n
o
t
e
s
t
h
e
g
r
e
a
t
e
s
t
i
n
t
e
g
e
r
f
u
n
c
t
i
o
n
,
i
s
a
.
[
4
3
,
5
3
)
b
.
[
5
3
,
2
)
c
.
[
2
3
,
5
3
)
d
.
[
1
,
5
3
)
Answer
3
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q.74. The value of
a
log
b
/
c
b
log
c
/
a
c
log
a
/
b
is equal to
0
1
abc
1
a
b
c
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q.75. The domain of function
f
x
=
1
-
log
2
log
1
/
3
x
is
[
1
9
,
∞
)
(0, 1)
[
1
9
,
1
)
(
0
,
1
9
]
Answer
1
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q.76. The maximum value of the function f (x) =
2
x
x
2
+
4
(where [.] denotes the greatest integer function) is
Choose one:
A. 2
B.
1
2
C. 1
D.
1
4
Answer
1
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q.77. The sum of all the values of x which are satisfying the equation 2 |x - 1| + |x| = 5 is
Choose one:
A. 0
B.
2
3
C.
7
3
D.
4
3
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q.78. A real value function f(x) satisfying f(x + y) = yf(x) + xf(y) + xy - 2
∀
x
,
y
∈
R
and f(1) = 3, then f(11) is equal to
33
21
201
203
Answer
4
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q
.
79
The
domain
of
the
function
f
(
x
)
=
1
x
-
2
-
3
,
where
[
x
]
denotes
the
greatest
integer
function
,
is
(
A
)
-
∞
,
-
1
∪
[
6
,
∞
)
(
B
)
-
∞
,
-
2
∪
[
5
,
∞
)
(
C
)
-
∞
,
-
1
∪
[
5
,
∞
)
(
D
)
-
∞
,
1
∪
[
5
,
∞
)
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
sir
Q. 80. The sum of all the values of x which satisfy the equation 7{x} = 2x + [x], where {.} denotes fractional part function and [.] denotes the greatest integer function, is
Choose one:
A. 0
B.
2
3
C. 3
D.
8
5
Answer
2
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q.81. The solution of the equation
3
[
x
]
+
x
2
=
6
,
x
>
0
([ . ] denotes the greatest integer function)
[
3
, 2)
[1, 2)
[1,
3
]
(
3
, 3)
Answer
1
Shivam Gupta
Subject: Maths
, asked on 1/10/17
Q 82. The solution of the inequality log
x
(4x
2
- 1) < 2, is
Choose one:
1
2
,
1
1
2
,
1
3
1
3
,
1
1
,
3
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 30/9/17
No links please
Q.1. Find by integration the area of the triangle bounded by the lines 3x - 2y = 6, y = 0 and x = 4 . Verify your result by using the definition of area of a triangle as half the product of the base and altitude.
Ans : 3 square units
Answer
1
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What are you looking for?
that , then the number of relations from B to A - B is
Q.72. A function f (x) = max{x - [x], - x - [- x]}, where [.] denotes the greatest integer function, and an another function is g (x) = 2 - 1, then the number of solutions of the equation f (x) = g (x) is
Choose one:
A. 0
B. 1
C. 2
D. 3
0
1
abc
Q.76. The maximum value of the function f (x) = (where [.] denotes the greatest integer function) is
Choose one:
A. 2
B.
C. 1
D.
Q.77. The sum of all the values of x which are satisfying the equation 2 |x - 1| + |x| = 5 is
Choose one:
A. 0
B.
C.
D.
Q. 80. The sum of all the values of x which satisfy the equation 7{x} = 2x + [x], where {.} denotes fractional part function and [.] denotes the greatest integer function, is
Choose one:
A. 0
B.
C. 3
D.
Choose one:
Q.1. Find by integration the area of the triangle bounded by the lines 3x - 2y = 6, y = 0 and x = 4 . Verify your result by using the definition of area of a triangle as half the product of the base and altitude.
Ans : 3 square units