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If alphaa n dbeta are the roots of x^2+...

If `alphaa n dbeta` are the roots of `x^2+p x+q=0a n dalpha^4,beta^4` are the roots of `x^2-r x+s=0` , then the equation `x^2-4q x+2q^2-r=0` has always. A. one positive and one negative root B . two positive roots C . two negative roots D . cannot say anything

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z|=1, then the point representing the complex number -1+3z will li...

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  2. If one vertex of a square whose diagonals intersect at the origin is 3...

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  3. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

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  4. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

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  5. Let |zr-r|lt=r ,AAr=1,2,3,... ,n Then |sum(r=1)^n Zr| is less than n ...

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  6. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval a.[1/3,2] ...

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  7. z1a n dz2 are the roots of 3z^2+3z+b=0. if O(0),(z1),(z2) form an equi...

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  8. Consider the given equation 11 z^10 + 10 i z^9 + 10 i z - 11 =0, then ...

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  9. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

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  10. If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|...

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  11. Let z1, z2a n dz3 represent the vertices A ,B ,a n dC of the triangl...

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  12. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

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  13. If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...

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  14. If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqr...

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  15. On the Argand plane z1, z2a n dz3 are respectively, the vertices of an...

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  16. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

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  17. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

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  18. Find the locus of the points representing the complex number z for...

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  19. The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. t...

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  20. Identify the locus of z if bar z = bar a +(r^2)/(z-a).

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