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If w be a imaginary cube root of uniyt a...

If w be a imaginary cube root of uniyt and a+b+c=0 then show that `(a+bw+cw^2)^3+(a+bw^2+cw)^3=27abc`

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UNITED BOOK HOUSE-KALIDHAN INSTITUTION-EXERCISE
  1. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  2. Prove by the principle of mathematical induction that.4^n+15n-1is a mu...

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  3. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  4. In a machine,there is a password of five characters of which the first...

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  5. If the term independetn of x in the expansion of (k/3x^2-3/(2x))^9be 2...

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  6. Find the sum :3.1^2+4.2^2+5.3^2+....upto n terms.

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  7. A straight line passes through the point (2,3) and is such that the po...

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  8. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  9. The sum of the distances of a moving point from the points (c,0)and (-...

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  10. If the sum of first n terms of a G.P is p and the sum of the first 2n ...

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  11. The roots of the equation x^2+3x+4=0are alphaand beta.Form the equati...

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  12. Foe any two events A and B prove that ,P(A)geP(AcapB)geP(A)+P(B)-1

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  13. Two fair dice are thrown simultaneously .The two scores are then multi...

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  14. Find the maximum and minimum values of 3sintheta+4costheta+5

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  15. Find the locus of a point which forms a triangle of area 21 square uni...

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  16. Show that sin16^@+cos16^@=1/sqrt2(sqrt3cos1^@+sin1^@)

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  17. Sin A=m sin B,show that ,tan((A-B)/2)=(m-1)/(m+1)tan((A+B)/2)

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  18. Exhibit graphically the solution sets of the following system of linea...

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  19. State the fundamental theorem of algebra.solve the following in the co...

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  20. How many 4 digit numbers can be formed form the digits,1,1,2,2,3,3,4,4...

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