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If `omega`is an imaginary cube root of unity then prove that `(xomega^2+yomega+z)/(xomega+y+zomega^2)=((xomega+y+zomega^2)/(xomega^2+yomega+z))^2`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
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  2. If tan15^@=x.then show that x^2+2sqrt3x-1=0

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  3. If omegais an imaginary cube root of unity then prove that (xomega^2+y...

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  4. If number of triangles joining angular points of a n-sided polygon be ...

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  5. Find the term independent of x in the expansion of (x-2/x^2)^15

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  8. Find the coordinates of the point which divides the line segment joini...

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  9. Find the derivative of the function f(x)=2x^(2)+3x-5" at "x=-1. Also p...

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  14. If alphaand betaare positive acute angles and cos2alpha=(3cos2beta-1)/...

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  17. If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

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  18. Out of 14 articles,10 are of same type and each of the remaining is of...

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  19. In the expansion of (root(3)(2)+1/root(3)(3))^nthe rationof the 7th te...

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