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Assertion (A) : If alpha, beta are the...

Assertion (A) : If `alpha, beta` are the roots of `ax^(2)+bx+c=0` then `((alpha)/(alphabeta+b))^(3)- ((beta)/(aalpha+b))^(3)=0`
Reason (R) : If a,B are the roots of `ax^(2)+bx+c=0` then `(alpha)/(alphabeta+b)= (beta)/(aalpha+b)`

A

Both A, R are true and R explain Assertion

B

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

C

A is true R is false

D

A is false R is true

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  3. Assertion (A) : If alpha, beta are the roots of ax^(2)+bx+c=0 then (...

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

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  5. The value of c for which |alpha^(2) -beta^(2)| = (7)/(4) where a and B...

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  6. If the sum of the roots of the equation x^(2)+px+q=0 is 3 times their ...

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  7. If the difference between the roots of x^(2) + ax + b = 0 is equal to ...

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  8. In a triangle PQR, /R= (pi)/(2) If tan(P/(2)) and tan(Q/(2))are the ro...

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

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

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  11. If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4...

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  12. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

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

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

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

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

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  17. If a(5+q^(2))+2bq+c=0 and a(5+r^(2))+2br+c=0 where a ne 0 then q + r =

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  18. If alpha, beta are the roots of x^(2)-2x+4 = 0 and for any n in N, a...

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  19. If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=...

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  20. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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