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If the equation whose roots are the squa...

If the equation whose roots are the squares of the roots of the cubic `x^3-a x^2+b x-1=0` is identical with the given cubic equation, then (A) `a=0,b=3` (B) `a=b=0` (C) `a=b=3` (D) `a ,b ,` are roots of`x^2+x+2=0`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

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  3. If the equation whose roots are the squares of the roots of the cubic ...

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  5. P(z) be a variable point in the Argand plane such that |z|=minimum {|z...

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  6. If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, t...

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  7. Prove that the equation Z^3+i Z-1=0 has no real roots.

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  8. The locus of point z satisfying R e(1/z)=k , where k is a non zero re...

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  9. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

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  10. Find the square root 9+40 idot

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  11. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic e...

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  12. Let a be a complex number such that |a|<1a n dz1, z2,z3,... be the ve...

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  13. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

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  14. If the ratio of the roots of the equation x^2+p x+q=0 are equal to rat...

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  15. Let z=1-t+isqrt(t^2+t+2), where t is a real parameter.the locus of the...

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  16. If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b...

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  17. Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((...

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  18. If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely i...

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  19. If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...

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  20. If the sum of the roots of the equation 1/(x+a)+1/(x+b)=1//c is zero,...

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