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Raj Aryan
Subject: Maths
, asked on 10/5/18
Q.9. Let
f
:
R
→
R
, where
f
x
=
2
x
-
2
-
x
, then f(x) is
(A) one-one
(B) many-one
(C) periodic
(D) none of these
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Solve this:
Q.8. Let X = Y = [- 1, 1]. For each of the following functions from X to Y, state whether it is onto or into.
(a) f(x) =
x
2
(b) g (x) = | x |
(c) h (x) = x | x |
(d) f (x) = sin
π
x
Answer
1
Raj Aryan
Subject: Maths
, asked on 10/5/18
Prove that this function is onto.
Q.7. f : [- 3
π
, 2
π
]
→
[- 1, 1] defined by f (x) = sin 3x.
Answer
1
Aishwarya
Subject: Maths
, asked on 8/5/18
Solve this:
Answer
1
Mitali
Subject: Maths
, asked on 8/5/18
Q.64. If z is any complex number satisfying
z
-
3
-
2
i
≤
2
, then the minimum value of
|
2
z
-
6
+
5
i
|
is
0
1
2
3
4
5
Answer
1
Aishwarya
Subject: Maths
, asked on 7/5/18
L
e
t
g
i
s
t
h
e
i
n
v
e
r
s
e
f
u
n
c
t
i
o
n
o
f
f
&
f
'
(
x
)
=
x
10
(
1
+
x
2
)
.
I
f
g
(
2
)
=
a
t
h
e
n
g
'
(
2
)
i
s
e
q
u
a
l
t
o
(
A
)
5
2
10
(
B
)
1
+
a
2
a
10
(
C
)
a
10
1
+
a
2
(
D
)
1
+
a
10
a
2
Answer
1
Aviral
Subject: Maths
, asked on 7/5/18
Q). Range of the function
f
(
x
)
=
log
2
sin
x
+
cos
x
+
3
2
2
is
Answer
1
Bhavya Jain
Subject: Maths
, asked on 5/5/18
How to do this sequence and series problem?
Q.16. If
1
b
-
a
+
1
b
-
c
=
1
a
+
1
c
, then a, b and c are in
a. AP
b. HP
c. GP
d. Both b and c
Answer
1
Hermoine
Subject: Maths
, asked on 4/5/18
Please help with f and g part
Q. Find the domain and range of the function
(f)
f
x
=
3
sin
π
2
16
-
x
2
(g)
sin
x
1
+
tan
2
x
+
cos
x
1
+
c
o
t
2
x
Answer
1
Vanshika Sharma
Subject: Maths
, asked on 3/5/18
L
e
t
f
:
(
2
,
4
)
→
(
1
,
3
)
w
h
e
r
e
f
(
x
)
=
x
-
[
x
/
2
]
(
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
)
,
t
h
e
n
f
-
1
(
x
)
i
s
(
A
)
n
o
t
d
e
f
i
n
e
d
(
B
)
x
-
1
(
C
)
x
+
1
(
D
)
n
o
n
e
o
f
t
h
e
s
e
Answer
1
Shreya
Subject: Maths
, asked on 2/5/18
Question no. 15 & 16.
Q 15. Equation of the normal to y
2
= 4x which is perpendicular to x + 3y + 1 = 0 is
(A) 3x - y - 33 = 0 (B) 3x - y + 17 = 0 (C) 3x -y + 19 = 0 (D) 3x - y + 27 = 0
Q 16. The point on the parabola x
2
= y which is nearest to (3, 0) is
(A) (1, -1) (B) (-1, 1) (C) (-1, -1) (D) (1, 1)
Answer
1
Shreya
Subject: Maths
, asked on 2/5/18
S
i
s
t
h
e
f
o
c
u
s
o
f
t
h
e
p
a
r
a
b
o
l
a
y
2
=
8
x
.
P
i
s
a
p
o
i
n
t
o
n
t
h
e
p
a
r
a
b
o
l
a
.
T
h
e
n
o
r
m
a
l
a
t
P
m
e
e
t
s
t
h
e
a
x
i
s
i
n
G
.
I
f
S
P
G
i
s
a
n
e
q
u
i
l
a
t
e
r
a
l
t
r
i
a
n
g
l
e
t
h
e
n
P
i
s
(
A
)
6
,
4
3
(
B
)
8
,
8
(
C
)
4
,
4
2
(
D
)
3
,
2
3
Answer
1
Ms Eccentric
Subject: Maths
, asked on 2/5/18
Let a and b be real numbers greater than 1 for which there exists a positive real number c, different from 1, such that : 2(log
a
c + log
b
c) = 9log
ab
c. Find the largest possible value of log
a
b.
Answer
1
Raj Aryan
Subject: Maths
, asked on 2/5/18
Solve fast plz!
9
.
I
f
f
x
=
log
1
2
x
2
-
2
x
+
2
,
t
h
e
n
d
o
m
a
i
n
o
f
f
(
x
)
i
s
A
)
R
B
)
R
-
1
,
2
C
)
R
+
D
)
)
R
-
1
,
2
Answer
1
Raj Aryan
Subject: Maths
, asked on 2/5/18
Solve fast plz!:
8
.
Solution
of
x
-
3
x
+
5
x
-
7
x
-
4
x
+
6
≤
0
is
A
(
-
6
,
-
5
]
∪
3
,
7
B
3
,
7
C
(
-
6
,
-
5
]
∪
[
3
,
7
)
∪
[
3
,
7
)
D
None
of
these
Answer
1
Prev
1
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3
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5
Next
What are you looking for?
(A) one-one
(B) many-one
(C) periodic
(D) none of these
Q.8. Let X = Y = [- 1, 1]. For each of the following functions from X to Y, state whether it is onto or into.
(a) f(x) =
(b) g (x) = | x |
(c) h (x) = x | x |
(d) f (x) = sin x
Q.7. f : [- 3, 2] [- 1, 1] defined by f (x) = sin 3x.
Q.16. If , then a, b and c are in
a. AP
b. HP
c. GP
d. Both b and c
Q. Find the domain and range of the function
(f)
(g)
Q 15. Equation of the normal to y2 = 4x which is perpendicular to x + 3y + 1 = 0 is
(A) 3x - y - 33 = 0 (B) 3x - y + 17 = 0 (C) 3x -y + 19 = 0 (D) 3x - y + 27 = 0
Q 16. The point on the parabola x2 = y which is nearest to (3, 0) is
(A) (1, -1) (B) (-1, 1) (C) (-1, -1) (D) (1, 1)