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If a+ b + c = 6 and ab + bc + ca = 11, t...

If a+ b + c = 6 and ab + bc + ca = 11, then value of bc (b + c) +ca (c + a) + ab (a + b)+ 3 abc is :

A

33

B

66

C

55

D

23

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The correct Answer is:
B
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KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
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  2. If x = (3)/(2) rthen the value of 27 x ^(3) - 54 x ^(2) + 36 x - 11 i...

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  3. If a+ b + c = 6 and ab + bc + ca = 11, then value of bc (b + c) +ca (c...

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  4. If m + n =1, then the value of m ^(3) + n ^(3) + 3 mn

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  5. If x^(3) + (1)/( x^(3)) = 110 then find the value of x + (1)/( x)

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  6. If x^(2) + y^(2) + z^(2) = 14 and xy + yz + zx = 11 then the valu...

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  7. If x= 3 sqrt( 28) , y = 3 sqrt(27) then the value of x - y - ( 1)/(...

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  8. If x =12 and y = 4, then the value of (x + y) ^((x)/(y)) is

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  9. If 2 x + (2)/( x) = 3 then the value of x^(3) + (1)/( x^(3)) + 2 ...

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  10. If a + b = 3 then the value of a^(3) + b^(3) + 9ab - 27 is

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  11. If p^(3) - q^(3) = (p - q) {( p + q)^(2) - x p q } then the value o...

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  12. If a ^(2) = by + cz, b ^(2)= cz + ax, c ^(2) = ax + by, then the valu...

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  13. If a + b + c = 15 and (1)/(a) + (1)/(b) + (1)/( c) = (71)/(abc) then ...

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  14. If k is the largest possible real number such that p^(4) + q^(4) = (p...

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  15. A complete factorisation of ( x ^(4) + 64) is

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  16. If a + b = 1 then a^(4) + b^(4) - a^(3) - b^(3)- 2a^(2) b^(2) + ab ...

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  17. If a = 299, b = 298 , c = 297 then the value of 2a ^(3) + 2b ^(3) + 2...

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  18. If x = 1 + sqrt(2) + sqrt(3) then the value of ( 2 x ^(4) - 8 x^(3...

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  19. If x + y = 1 + xy then x^(3) + y^(3) - x^(3) y^(3) is equal to :

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  20. If x^(2) - xy + y^(2) = 2 and x^(4) + x^(2) y^(2) + y^(4) = 6 then ...

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