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Let omega ne1 be a complex cube root of ...

Let `omega ne1` be a complex cube root of unity if `(3-3omega+2omega^2)^(4n+3)+(2+3omega-3omega^2)^(4n+3)+(-3+2omega+3omega^2)^(4n+3)=0`then possible value(s) of n is (are)

A

1

B

2

C

4

D

3

Text Solution

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The correct Answer is:
D
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Match the statements/expressions given in column I with the values given in Column II. Column I, Column II In R^2, if the magnitude of the projection vector of the vector alpha hat i+beta hat j on sqrt(3) hat i+ hat ji ssqrt(3) and if |alpha| is /are, (p) 1 Let aa n db be real numbers such that the function f(x)={-3a x^2-2,x<1 bx+a^2, xgeq1 Differentiable for all x in Rdot Then possible value (s) of a is/are, (q) 2 Let omega!=1 be a complex cube root of unity. If (3-3omega+2omega^2)^(4n+3)+(2+3omega-3omega^2)^(4n+3)+(-3-2omega+3omega^2)^(4n+3)=0 , then possible values (s) of n is /are, (r) 3 Let the harmonic mean of two positive real numbers aa n db be 4. If q is a positive real number such that a ,5,q ,b is an arithmetic progressin, then the values (s)of|q-a| is /are, (s) 4 , (t) 5

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