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If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `8x^2-3x+27=0,` then the value of `(alpha^2/beta)^(1/3)+(beta^2/alpha)^(1/3)` is

A

`1//3`

B

`1//4`

C

`1//5`

D

`1//6`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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  2. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

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  3. If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the val...

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  4. The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...

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  5. The difference of maximum values of the expressions (6 + 5x - x^(2)) ...

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  6. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

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  7. The equation 3^(x-1)+5^(x-1)=34 has

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  8. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  9. The values of the parameter a for which the quadratic equations (1 – 2...

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  10. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  11. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  12. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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  13. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

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  14. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

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  15. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

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  16. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  17. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  18. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  19. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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  20. The set of values of p for which the expression x^(2) −2px+3p+4...

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