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For the following question, choose the c...

For the following question, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows: Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I. Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I. Statement I is true; Statement II is false Statement I is false; Statement II is true. Let `a , b , c , p , q` be the real numbers. Suppose `alpha,beta` are the roots of the equation `x^2+2p x+q=0` and `alpha,1/beta` are the roots of the equation `a x^2+2b x+c=0,` where `beta^2 !in {-1,0,1}dot` Statement I `(p^2-q)(b^2-a c)geq0` and Statement II `b !in p a` or `c !in q adot`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. For the following question, choose the correct answer from the codes ...

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  4. Find the value of 1^3

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  5. All the values of m for whilch both the roots of the equation x^2-2m x...

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  6. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

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  7. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

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  8. If z1=5+12 i and |z2|=4,t h e n

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  9. If roots of x^2-(a-3)x+a=0 are such that both of them is greater than ...

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  10. If (z-1)/(z+1) is purely imaginary then

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  11. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for...

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  12. Write a linear equation representing a line which is parallel to y-axi...

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  13. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

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  14. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

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  15. The set of all possible real values of a such that the inequality (x-(...

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  16. If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...

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  17. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

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  18. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

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  19. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

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  20. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

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