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IF a = cos ( (2 pi ) /(7)) + isin ((2p...

IF ` a = cos ( (2 pi ) /(7)) + isin ((2pi)/(7)) , alpha = a + a^2+a^4 and beta = a^3+a^5+a^6` then ` alpha , beta ` are the roots of the equation

A

`x^2 +x+1=0`

B

`x^2+x+2=0`

C

` x^2 +x+2=0`

D

` x^2 +2x +3=0`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The equation whose roots are the cubes of the roots of the eq...

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  2. IF alpha , beta are the roots of ax ^2+bx + c=0 and gamma , delt...

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  3. IF a = cos ( (2 pi ) /(7)) + isin ((2pi)/(7)) , alpha = a + a^2+a^...

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  4. Let alpha!=beta satisfy alpha^(2)+1=6alpha,beta^(2)+1=6beta. Then, the...

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  5. IF 3p^2 =5p+2 and 3q^2=5q+2 where p ne q then the equation whose ...

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

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  7. The quadratic equation for which the sum of the roots is 7 and...

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  8. The quadratic equation for which the sum of the roots is 12 an...

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  9. IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the ...

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  10. Two complex numbers alpha and beta are such that alpha + ...

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  11. IF the arithmetic mean of the roots of a quadratic equation is...

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  12. Let two numbers have arthmetic mean 9 geometric mean 4. then...

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  13. The equation whose roots are the arthmatic mean and twice the ...

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

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  15. The equation whose roots are greater by 1 than those of 2x ^2-3x ...

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  16. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

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

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  18. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

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  19. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

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  20. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

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