JEE Advanced Model Paper 6 with solutions for online practice

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Passage-II

−
a
= a1
^
i
+ b1
^
j
+ c1
^
k
,
−
b
= a2
^
i
+ b2
^
j
+ c2
^
k
are two vectors then
−
a
.
−
b
= a1a2 + b1b2 + c1c2 , 1
1
n
= cos
2kπ
n
+ isin
2kπ
n
, (k = 0 , 1 , 2 , 3 ..... )
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Question : 34 of 60
 
Marks: +1, -0
If αk = cos
2kπ
7
+ isin
2kπ
7
, i = √−1 and If
7
Σ
1
|αk+1−αk
|
= k sin
6Ï€
7
, then k - 13
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