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Let z=x+iy be a complex number where x a...

Let z=x+iy be a complex number where x and y are integers then the area of the rectangle whose vertices are the roots of the equation `zbarz^3+barzz^3=350` is

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It ...

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  2. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

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  3. Let z=x+iy be a complex number where x and y are integers then the are...

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  4. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

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  5. A man walks a distance of 3 units from the origin towards the north ea...

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  6. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

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  7. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

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  8. Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 ...

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  9. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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  10. Let ...

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  11. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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  12. Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c ...

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  13. Locus of complex number satisfying "a r g"[(z-5+4i)/(z+3-2i)]=pi/4 is ...

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  14. Solve (x^2-5x+7)^2-(x-2)(x-3)=1.

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  15. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

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  16. Solve the equation x^4-5x^2+4=0.

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  17. The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

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  18. Solve (x^2-2x-3)/(x+1)=0.

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  19. If omega is a complex cube root of unity and (1+omega)^7=A+Bomega then...

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  20. Solve (x^3-4x)sqrt(x^2-1)=0.

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