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If x^(2) + px + q = 0 is the quadratic e...

If `x^(2) + px + q = 0` is the quadratic equation whose roots are a-2 and b-2 where a and b are the roots of `x^(2)-3x + 1 = 0` then

A

p = 1, q = 5

B

p = 1, q = -5

C

p = 1, q = 2

D

p = 1, q = -1

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The correct Answer is:
D
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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  2. alpha,beta are the real roots of ax^(2) + bx + c = 0 observe the follo...

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  3. If x^(2) + px + q = 0 is the quadratic equation whose roots are a-2 an...

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  4. If alpha, beta are the roots of x^(2) + x + 1 = 0, then the equation w...

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

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

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

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

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

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  10. Number of quadratic equations which are unchanged by squaring their ro...

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

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

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

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

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

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

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

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

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