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Show that a real value of x\ will satis...

Show that a real value of `x\ ` will satisfy the equation `(1-ix)/(1+ix)=a-i b\ if\ a^2+b^2=1` , when `a\ , b` are real.

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
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  2. Prove that: x^4+4=(x+1+i)(x+1-i)(x-1+i)(x-1-i).

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  3. Show that a real value of x\ will satisfy the equation (1-ix)/(1+ix)=...

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  4. If alpha an d beta are different complex numbers with |beta|=1,then ...

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  5. Find non zero integral solutions of |1-i|^x=2^xdot

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  6. Express the following complex numbers in the standard form a+i b :(1+i...

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  7. Express the following complex numbers in the standard form a+i b :1/((...

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  8. Express the following complex numbers in the standard form a+i b :((2+...

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  9. Express the following complex numbers in the standard form a+i b :(1+2...

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  10. Express the following complex numbers in the standard form a+i b :(1/(...

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  11. Express the following complex numbers in the standard form a+i b :(3+2...

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  12. Express the following complex numbers in the standard form a+i b :(1-i...

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  13. Express the following complex numbers in the standard form a+i b :((1+...

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  14. Express the following complex numbers in the standard form a+i b :(3-4...

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  15. Express the following complex numbers in the standard form a+i b :(5+s...

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  16. Find the real values of x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i

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  17. Find the real values of x\ a n d\ y ,\ if:((1+i)x-2i)/(3+i)+((2-3i)y+i...

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  18. Find the real values of x\ a n d\ y ,\ if:(3x-2iy)(2+i)^2=10(1+i)

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  19. Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i

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  20. Find the conjugates of the following complex number: 4-5i

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