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IF alpha, beta are the roots of 9x^...

IF ` alpha, beta ` are the roots of `9x^2+6x+1=0` then the equation with the roots `1// alpha , 1//beta ` is

A

`2x^(2) + 3x + 18 = 0`

B

`x^(2) + 6x -9 = 0`

C

`x^(2) + 6x + 9 = 0`

D

`2x^(2) + 3x + 9 = 0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

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  2. If alpha, beta are the roots of x^(2)+x+1=0, then the equation whose r...

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  3. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

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  4. The equation whose roots are double the roots of the equation x^(2) + ...

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  5. The equation formed by increasing each roots of 2x^(2) - 3x - 1 = 0 by...

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  6. If one root of x^2+kx +12 =0 may be the triple the other , then...

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  7. Let alpha and beta be the roots of the quadratic equation ax^(2) + bx ...

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  8. If one root of the equation x^(2) + px + q = 0 is the square of the ot...

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  9. If alpha+beta=3 and a^(3)+beta^(3) = 7, then alpha and beta are the ro...

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  10. The equation whose roots are smaller by 1 then those of 2x ^2-5...

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  11. Assertion (A): The roots of the equation 2x^(2) - 15x + 4 = 0 are each...

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  12. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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  13. If alpha, beta are the roots of x^(2)+3x+1=0, then the equation whose ...

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

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  15. The number of integral solutions of 2(x^(2)+(1)/(x^(2)))-7(x+(1)/(x)) ...

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  16. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

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  17. The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

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  18. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

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  19. If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the o...

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  20. Assertion (A) : If the roots of (b-c) x^(2) + (c-a) x+(a-b) = 0 are eq...

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