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If 3x-(y)/(5)=10 and xy=5, then find 27x...

If `3x-(y)/(5)=10 and xy=5`, then find `27x^(3)-(y^(3))/(125)`

A

1060

B

1150

C

112

D

1000

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The correct Answer is:
B
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PEARSON IIT JEE FOUNDATION-POLYNOMIALS, LCM AND HCF OF POLYNOMIALS -CONCEPT APPLICATION (LEVEL 2)
  1. 35. Factorization of the polynomial,11x^2 – 10sqrt3x - 3 gives

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  2. If h(y)=y^(2)andg(z)=z^(3), then the HCF of h(b)-h(a) and g(b)-g(a) is...

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  3. The HCF of the polynomials (x^(3)-9^(3))(x+3) and (x^(2)-9)(x^(2)-3) i...

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  4. x^2+y^2-z^2-2xy

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  5. The polynomial x^(3)+8y^(3)+27z^(3)-18xyz on factorization gives .

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  6. The polynomial x^(4)+12x^(2)+64 on factorization gives .

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  7. The HCF of (x-1)(x^(2)-4) and (x^(2)-1)(x+2) is .

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  8. The HCF and LCM of the polynomials p(x) and q(x) are (x^2 + 2x) (x^2 ...

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  9. The LCM of the polynomials (x-3)(x+5)^(2),(x+5)(x-7)^(2)and(x-7)(x-3)^...

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  10. The factors of the expression a+b+c+2sqrt(ab)-2sqrt(bc)-2sqrt(ca) ar...

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  11. The HCF of two polynomials A and B using longdivision method was found...

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  12. The polynomial, x^(6)+64y^(6) on factorization gives .

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  13. If the LCM of the polynomials (x-3)(x-p) and (x+3)(x+5) is (x-3)(x+3)(...

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  14. The number of terms which contain variables in the expansion of (x+1/x...

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  15. If (a+b+c)^(2)=36,ab+bc+ca=11 and a,b,c in N, then find a^(2)+b^(2)+c^...

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  16. If 2x+(y)/(3)=12andxy=30, then find 8x^(3)+(y^(3))/(27).

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  17. Find the LCM of the polynomials 5(x^(3)-y^(3)) and 35(x^(6)-y^(6)).

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  18. Find the HCF of the polynomials 6(x^(2)-36) and 36(x+6).

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  19. If a^(2)+b^(2)+c^(2)=29,ab+bc+ca=26anda,b,c inN, then find a+b+c.

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  20. If 3x-(y)/(5)=10 and xy=5, then find 27x^(3)-(y^(3))/(125)

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