Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2016
MCQ (Single Correct Answer)
+2
-0.5
If $$\omega$$ is an imaginary cube root of unity, then the value of (2 $$-$$ $$\omega$$) (2 $$-$$ $$\omega$$2) + 2(3 $$-$$ $$\omega$$)(3 $$-$$ $$\omega$$2) + ... + (n $$-$$ 1) (n $$-$$ $$\omega$$)(n $$-$$ $$\omega$$2) is
A
$${{{n^2}} \over 4}{(n + 1)^2} - n$$
B
$${{{n^2}} \over 4}{(n + 1)^2} + n$$
C
$${{{n^2}} \over 4}{(n + 1)^2}$$
D
$${{{n^2}} \over 4}(n + 1) - n$$
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