questionr
Early access
Exams
Joint Entrance Examination
Mathematics
Binomial Theorem
Question 82
Question 82 of 347
Medium
NUMERICAL
Answer: 138
Check answer
Press A-D to select · Enter to check
Solutions · 1
Post your solution
Official solution
General term in expansion of
(
(
7
)
1
/
2
+
(
11
)
1
/
6
)
824
{((7{)}^{1/2}+(11{)}^{1/6})}^{824}
((
7
)
1/2
+
(
11
)
1/6
)
824
is
t
r
+
1
=
824
C
r
(
7
)
824
−
r
2
(
11
)
r
/
6
{t}_{r+1}={}^{824}{C}_{r}(7{)}^{\frac{824-r}{2}}(11{)}^{r/6}
t
r
+
1
=
824
C
r
(
7
)
2
824
−
r
(
11
)
r
/6
For integral term,
r
r
r
must be multiple of 6. Hence
r
=
0
,
6
,
12
,
.
.
.
.
.
.
.822
r=0,6,12,.......822
r
=
0
,
6
,
12
,
.......822
Answer the question to unlock
Previous
Next