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If one root of x^(2)+px+q=0 may be the s...

If one root of `x^(2)+px+q=0` may be the square pf the other, then `p^(3)+q^(2)+q` =

A

4pq

B

3pq

C

2pq

D

pq

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
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  2. If one root of x^2+px+1=0 is square that of the other thenp=

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  3. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

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  4. The quadratic equation with rational coefficients whose one root is 3+...

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  5. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

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  6. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

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  7. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

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  8. The roots of the equation x^(2)-2sqrt3 x+3=0 are

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  9. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

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  10. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

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  11. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

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  12. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

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  13. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

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  14. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  15. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

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  16. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

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  17. The equation x-(2)/(x-1) =1-(2)/(x-1) has

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  18. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

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  19. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

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  20. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

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