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If alpha, beta are the roots of x^(2)+2x...

If `alpha, beta` are the roots of `x^(2)+2x+5=0`, then the equation whose roots are `(alpha+1)/(alpha), (beta+1)/(beta)` is

A

`5x^(2)-9x+4=0`

B

`5x^(2)-8x+4=0`

C

`5x^(2)-10x+4=0`

D

`5x^(2)+9x+4=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. The equation whose roots are 'K' times the roots of the equation ax^(2...

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  2. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

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  3. If alpha, beta are the roots of x^(2)+2x+5=0, then the equation whose ...

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  4. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

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  5. If one root of x^(2)+kx+27=0 may be triple the other, then k=

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  6. If one root of x^2+px+1=0 is square that of the other thenp=

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  7. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

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  8. The quadratic equation with rational coefficients whose one root is 3+...

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  9. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

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  10. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

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  11. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

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  12. The roots of the equation x^(2)-2sqrt3 x+3=0 are

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  13. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

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  14. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

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  15. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

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  16. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

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  17. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

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  18. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  19. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

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  20. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

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