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Standard XII
Mathematics
Question
If i =
√
−
1
,
t
h
e
n
1
+
i
2
+
i
3
−
i
6
+
i
8
is equal to -
2- i
1
-3
-1
A
2- i
B
1
C
-3
D
-1
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Solution
Verified by Toppr
Given,
i
=
√
−
1
∴
1
+
i
2
+
i
3
−
i
6
+
i
8
=
1
−
1
−
i
+
1
+
1
=
2
−
i
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8
Similar Questions
Q1
If i =
√
−
1
,
t
h
e
n
1
+
i
2
+
i
3
−
i
6
+
i
8
is equal to -
View Solution
Q2
if i =
√
−
1
, then
1
+
i
2
+
i
3
+
i
6
+
i
8
is equal to
View Solution
Q3
If
i
2
=
−
1
, then
1
+
i
2
+
i
4
+
i
6
+
i
8
+
.
.
.
.
.
.
.
.
.
.
.
.
.
t
o
(
2
n
+
1
)
terms is equal to
View Solution
Q4
Find the values of the following expressions:
(i) i
49
+ i
68
+ i
89
+ i
110
(ii) i
30
+ i
80
+ i
120
(iii) i + i
2
+ i
3
+ i
4
(iv) i
5
+ i
10
+ i
15
(v)
i
592
+
i
590
+
i
588
+
i
586
+
i
584
i
582
+
i
580
+
i
578
+
i
576
+
i
574
(vi) 1+ i
2
+ i
4
+ i
6
+ i
8
+ ... + i
20
(vii) (1 + i)
6
+ (1 − i)
3
View Solution
Q5
Find the value of
i
6
+
i
7
+
i
8
+
i
9
i
2
+
i
3
View Solution