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If alpha, beta are the roots of x^(2) + ...

If `alpha, beta` are the roots of `x^(2) + 7x + 3 = 0` then `(alpha – 1)^(2) + (beta – 1)^(2)`=

A

59

B

69

C

39

D

49

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. IF the roots of the quadratic equation x^2 +px+q=0 are tan 30...

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  2. If (1 - p) is a root of quadratic equation x^(2) + px + (1- p)=0, then...

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  3. If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2...

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  4. If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha +...

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  5. IF alpha ,, beta are the roots of the equation 8x^2-3x+27=0 then...

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  6. Assertion (A): If n is a multiple of 6 and alpha, beta are the roots ...

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  7. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

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  8. If alpha, beta are the roots of 3x^(2) + 5x - 7 = 0 then (1)/(3alpha+5...

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

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

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

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

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

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

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

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

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

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

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

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

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