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If x^3+3x^2-9x=c is of the form (x-alpha...

If `x^3+3x^2-9x=c` is of the form `(x-alpha)^2(x-beta)` , then `c` is equal to `27` b. `-27` c. `5` d. `-5`

A

`-27`

B

27

C

`5`

D

5

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A, D
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
  1. If x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d, then the real root of ...

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  2. Let f(x) = ax^(3) + 5x^(2) - bx + 1. If f(x) when divide by 2x + 1 lea...

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  3. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

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  4. If the two roots of the euqation (lamda-1) (x^(2)+x+1)^(2)-(lamda+1)(x...

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

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  6. If 1 lies between the roots of the equation 3x^(2)-3 sin alpha x -2 co...

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  7. If a.4^(tan x)+ a.4^(-tan x) -2=0 has real solutions, where 0 le x le ...

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  8. If the equation (cos theta - 1) x^(2) + (cos theta ) x + sin theta =0 ...

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  9. If the roots of the equation (x-p) (x-q) =p^(2)- 2q^(2) be real and di...

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  10. The value of a for which the equation 2x^(2)-2(2a+1) x+a(a-1)=0 has ro...

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  11. Find the valuesof m for which exactly one root of the equation x^(2)-2...

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  12. The value of lamda for. Which 2x^(2)-2(2 lamda+1) x+lamda (lamda +1)=0...

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  13. If the equation ax^(2)+bx+c=0 (a gt 0) has two roots alpha and beta su...

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  14. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

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  15. If the equation x^2 +2(a+1)x+9a−5=0 has only negative root, then

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  16. The value of k for which both the roots of the equation 4x^(2)-20kx+(2...

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  17. If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3...

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  18. If both the roots of the equation x^(2)-12kx+k^(2)+k-5=0 are less than...

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  19. If both the roots of the equation x^(2)-6ax+2-2a+9a^(2)=0 exceed 3, th...

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  20. If the roots of the equation bx^(2)+cx+a=0 be imaginary, then for all ...

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