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If a alpha b and b alpha c, show that a^...

If a `alpha b` and `b alpha c`, show that `a^3+b^3+c^3 alpha 5 abc`.

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UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. Find the difference betweeen compound interest and simple interest of ...

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  2. Find the nature of the roots of the equation 2x^2-sqrt3x+2=0.

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  3. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  4. OA and OB are the radius of a circle with centre at O and angleAOB= 15...

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  5. The diagonals of a square ABCD intersect at O. If the length of each s...

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  6. ABCD is cyclic quadrilateral. Extended BA upto F. AE||CD and if angleA...

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  7. Find the value of 1/(1+sin^2 20^@)+1/(1+cosec^2 20^@).

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  8. Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha.

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  9. The volume of a cuboid is 432 c.c. By melting it, to make two cube of ...

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  10. The lower and upper part of a solid object are hemispherical and conic...

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  11. If ui = (xi-25)/10 sumfiui = 20 and sumfi = 100, find barx.

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  12. In a partnership business, the ratio of the capitals of three partners...

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  13. A man deposits the money for each of his three sons in such a way tha...

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  14. A and B started a business in partnership by investing in the ratio of...

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  15. Solve: (a+x-2b)/(2a-b)-(a-2b)/x=1.

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  16. If one root of the equation ax^2+bx+c=0 is square the other root, then...

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  17. If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, t...

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  18. If x= (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)), then show that ...

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  19. If a,b,c,d are in continued proportion then show that abcd(1/a+1/b+1/c...

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  20. If x = cy+bz, y =az+cx, z = bx+ay then prove that x^2/(1-a^2)=y^2/(1-b...

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