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

If `8iz^3+12z^2-18z+27i=0,` then (a). `|z|=3/2` (b). `|z|=2/3` (c). `|z|=1` (d). `|z|=3/4`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

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

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

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

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  6. If (x^2+p x+1) is a factor of (a x^3+b x+c),t h e n a^2+c^2=-a b ...

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

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

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  9. If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z...

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

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

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

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

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  14. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

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  15. Two towns A and B are 60 km a part. A school is to be built to serve ...

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  16. Find the amplitude of sinalpha+i(1-cosalpha)

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  17. Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...

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  18. Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...

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  19. Let z=9+b i ,w h e r eb is nonzero real and i^2=-1. If the imaginary p...

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  20. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

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