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If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity then the equation whose roots are `2omega + 3omega^(2)` and `2omega^(2) + 3omega` is

A

`x^(2)+5x+7=0`

B

`x^(2)+5x-7=0`

C

`x^(2)-5x+7=0`

D

`x^(2)-5x-7=0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  2. If alpha, beta are the roots of x^(2) + x + 1 = 0, then the equation w...

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  3. If omega is an imaginary cube root of unity then the equation whose ro...

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  4. The equation whose roots are half of roots of the equation 2x^(2) + 5x...

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  5. Assertion (A) : If alpha, beta are the roots of ax^(2) + bx + c = 0 th...

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  6. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

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  9. 3+4i is a root of x^(2) + Ax + B = 0 and sqrt(3) -2 is a root of x^(2)...

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  10. If the ratio of the roots of x^(2) + bx + c = 0 is equal to the ratio ...

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  11. If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

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  12. If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ...

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  13. If one root of x^(2) + px + 1 = 0 is the cube of the other root then p...

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  14. If 3+4i is a root of the equation ax^(2)+bx+c= 0 where a, b, c in R th...

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  15. Assertion (A) : If one root of x^(2)- (3+2i)x+ (1 + 3i) = 0 is 2+ i t...

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  16. IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...

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  17. If x^(2)+px+q=0 has roots 2i + 3, 2i–3 then the discriminant of the e...

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  18. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

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  19. If p(q-r)x^(2) + q(r-p) x+ r(p-q) = 0 has equal roots, then (2)/(q)=

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

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