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Anisha Mishra
Subject: Maths
, asked on 6/3/18
I
f
(
1
+
x
)
n
=
c
0
+
c
1
+
c
2
x
2
+
.
.
.
.
.
.
.
+
c
n
x
n
p
r
o
v
e
t
h
a
t
c
1
+
2
c
2
+
3
c
3
+
.
.
.
.
.
.
.
.
+
n
c
n
=
n
2
n
-
1
Answer
1
Divya Mahesh
Subject: Maths
, asked on 5/3/18
Solve this:
Q.17. Find the term containing
x
10
in the expansion of
2
x
2
-
3
/
x
11
OR
Find the term independent of x in the expansion of
2
x
-
1
/
x
10
,
x
≠
0
Answer
1
Ian Colaco
Subject: Maths
, asked on 1/3/18
Using Binomial theorem prove that 6^n - 5n-1 is divisible by 25 for all n element of N
Answer
1
Noel George Cherian
Subject: Maths
, asked on 21/2/18
.Find the coefficient of x ^32 and x ^−17 in the expansion of (x ^4 − 1/ x 3 ) ^15 .
Answer
1
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q3. Determine the value of x in the expression (x + x
log x
)
5
if the third term in the expansion is 10,00,000.
Answer
1
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q7. Show that
n
C
0
n
C
0
–
n+1
C
1
.
n
C
1
+
n+2
C
2
n
C
2
– ...... = ( – 1)
n
.
Answer
2
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q.6. If n is an integer greater than 1, prove that
a
-
C
1
a
-
1
+
C
2
a
-
2
+
.
.
.
+
-
1
n
C
n
a
-
n
=
0
.
Answer
0
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q9. The co-efficient of x
k
(
0
≤
k
≤
n
) in the expansion of E = 1 + (1+ x) + (1 +x)
2
+....... + (1 + x)
n
is
(A)
n+
1
C
k
+1
(B)
n
C
k
(C)
n+
1
C
n–k–1
(D)
n+
1
C
n–k–1
Answer
0
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q5. The greatest value of the term independent of x in the expansion of (x sin p + x
–1
cosp)
10
,P
∈
R is
(A) 2
5
(B)
10
!
(
5
!
)
2
(C)
1
2
5
,
10
!
5
!
2
(D) none of these
Answer
1
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Answer
0
Raj Aryan
Subject: Maths
, asked on 8/2/18
Problem 3:
If
p
+
q
=
1
, then show that
∑
r
=
0
n
r
2
C
r
p
r
q
n
-
r
=
n
p
q
+
n
2
p
2
.
Answer
1
Raj Aryan
Subject: Maths
, asked on 8/2/18
If
x + y
= 1, then
∑
r
=
0
n
r
n
C
r
x
r
y
n
-
r
equals
(A) 1 (B)
n
(C)
nx
(D)
ny
Answer
1
Raj Aryan
Subject: Maths
, asked on 8/2/18
Solve this:
Q). Find the remainder when
106
85
-
85
106
+
1
is divisible by 7.
Answer
1
Naga Nandhini
Subject: Maths
, asked on 7/2/18
Find the coefficient of a
4
in the product (1+2a)
4
(2-a)
5
using binomial theorem
Answer
1
S.chandhana
Subject: Maths
, asked on 7/2/18
The coefficients of t^6u^10 and t^7u^8 in the expansion of (2t+3u^2)^11 are in what ratio?
Answer
0
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What are you looking for?
Q.17. Find the term containing in the expansion of
OR
Find the term independent of x in the expansion of
Q3. Determine the value of x in the expression (x + xlog x)5 if the third term in the expansion is 10,00,000.
Q7. Show that nC0 nC0 – n+1C1 . nC1 + n+2C2 nC2 – ...... = ( – 1) n.
Q.6. If n is an integer greater than 1, prove that .
Q9. The co-efficient of xk () in the expansion of E = 1 + (1+ x) + (1 +x)2 +....... + (1 + x)n is
(A) n+1Ck+1 (B) nCk
(C) n+1Cn–k–1 (D) n+1Cn–k–1
Q5. The greatest value of the term independent of x in the expansion of (x sin p + x–1 cosp)10 ,P R is
(A) 25 (B)
(C) (D) none of these
(A) 1 (B) n (C) nx (D) ny
Q). Find the remainder when is divisible by 7.