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Assertion (A): If n is a multiple of 6 a...

Assertion (A): If n is a multiple of 6 and `alpha, beta` are the roots of `x^(2) + x +1=0` then `(1+alpha)^(-n)+ (1+beta)^(-n)=2`
Reason (R) : The roots of `x^(2) + x + 1= 0` are `omega, omega^(2)` and `omega^(n), omega^(2n)= 2` when `n=3k, k in z`

A

Both A, R are true and R explain Assertion

B

Both A, R are true but R does't explain A

C

A is true R is false

D

A is false R is true

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The correct Answer is:
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  4. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

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  7. If the difference between the roots of x^(2) + ax + 1 = 0 is Jess than...

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  12. If tan^(2)theta, sin^(2)theta are the roots of ax^(2)+bx+c=0 then b^(2...

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  13. If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

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  16. If alpha, beta are the roots of x^(2) + bx-c = 0, then the equation wh...

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  17. If the arithmetic mean of the roots of quadratic equation is (8)/(5) a...

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

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  19. If alpha, beta are the roots of the equation x^(2)+7x+12=0, then the e...

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