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If (x+i y)^3=u+i v , then show that u/x...

If `(x+i y)^3=u+i v ,` then show that `u/x+v/y=4(x^2-y^2)`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If x ,y and z are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x ...

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  3. If (x+i y)^3=u+i v , then show that u/x+v/y=4(x^2-y^2)

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  4. Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b ...

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  8. Match the following for the equation x^2+a|x|+1=0,w h e r ea is a para...

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  14. Column I, Column II If x^2+a x+b=0 has roots alpha,betaa n dx^2+p x+...

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  15. If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...

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  17. If omega is a cube root of unity, then find the value of the following...

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  18. If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the value of ...

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  19. If omega is a cube root of unity, then find the value of the following...

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  20. Find the domain and range of f(x)=sqrt(x^2-4x+6)

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