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The equation x^3 -3qx +2r =0 has a r...

The equation `x^3 -3qx +2r =0` has a repeated root then

A

`q^2 =r^3`

B

`q=r^2`

C

`q^3 =r`

D

`q^3 =r^2`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  2. If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=...

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  3. The equation x^3 -3qx +2r =0 has a repeated root then

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  4. If there is a multiple root of order 3 for the equation x^4 ...

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  5. The difference of the irrational roots of the equation x^5 -5x^4...

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  6. If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 th...

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  7. If alpha , beta , gamma are the roots of the equation x^3 - px^...

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  8. If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...

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  9. If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ...

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  10. sum (1)/(alpha^2 beta^2)

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  11. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

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  12. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

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  13. The equation whose roots exceed by 2 than the roots of 4x^4 ...

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  14. Find the polynomial equation whose roots are the squares of the roots ...

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  15. Form the polynomial equation whose roots are cubes of the roots of x^...

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  16. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

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  17. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

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  18. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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  19. If alpha , beta , gamma are the roots of the equation x^3 +px...

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  20. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

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