1wow i was waitin 4 ur q's ......tryi n :D
bhai log.........yahaan madad ki jiye........ye sabhi maine pehle kiye the par ab ho nahin rahe...........
The eqn zn-1 has n roots which are called nth roots of unity.These n roots are 1,α,α2,..........αn-1
Q1 find value of\sum_{r=1}^{n-1}{\frac{1}{2-\alpha ^{r}}}
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12 Answers
1oye ni samajh ra:(
koi idae hai kya
bus itna samjah ki we can use sum n product of roots as 0 and -1 sumwer
bt woh series ni pallel padh ra
24Q2 Q2 If ω is non real complex cube root of unity then find value of.......\frac{\prod_{p=1}^{4}{(\omega +\alpha ^{p})}}{\prod_{q=1}^{7}{(\omega ^{2}-\alpha ^{q})}}
24Q3 If n\varepsilon N,
then \prod_{r=1}^{n-1}{sin(\frac{r\pi }{n})=??}
62Q1 hint
f(x) has roots a1,a2... an
then
f(2-x) has roots 2-a1, 2-a2,.... 2-an
Now it is one step far from the final answer! ? or is it not?
24Sir ,,, can u solve one part fully?? so that i can try the rest of them then.............plzzzzzzzzzzzzzz[2][2]
62f(x) has roots a1,a2... an
then
f(2-x) has roots b1=2-a1, b2=2-a2,.... bn=2-an
Now it is one step far from the final answer! ? or is it not?
you have to find the
1/b1+1/b2+.........1/bn
which is same as sum of product of n-1 taken together ... whole divided by the product of all..
now use the simple rules to find these ....
(2-x)n-1 = constant term will be 2n-1
coeff of x is -n.2n-1
coeff of xn=(-1)n
now is it simple?