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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-MODEL QUESTION PAPERS-SET 1-EXERCISE
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  2. Prove that ,In /\ABC a(bcosC-ccosB)=b^2-c^2

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

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  4. 1st,2nd,and 8th term of a G.P are a^-4,a^m,a^52.Find the value of m.

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  5. If the 5th term of the expansion of (x^(2//3)+x^-1)^nis the term indep...

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  7. Find the distance between the lines 3x+4y=9 and 6x+8y+15=0.

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  8. Find the ratio in which the plane 2x+3y+5z=1 divides the line segment ...

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  9. From 1st principle differentiate f(x)=sqrtxwith respect to x.

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  12. P(A)=1/2,P(B)=1/3,P(C)=1/4,are these true?when A,B,C are mutually disj...

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  14. If cosec theta+sectheta=cosecalpha+secalpha,then show that tan ((theta...

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  15. Solve :cos^8alpha+sin^8alpha=17/32

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  16. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  17. If ,p,q,a,b are 6th,7th,8th and 9th term of the expansion of (x+r)^n,t...

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  18. By using mathematical induction prove that 3^(2n)-8n-1is divisible by ...

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  19. If a,b,c are in G.P and x,y are the arithmetic mean of a and b aand b,...

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  20. Prove that the straight lines ax+by+c=0,bx+cy+a=0and cx+ay+b=0 are con...

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