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Convert of the complex number in the polar form: `1-i`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the real part of (1-i)^(-i)dot

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  2. The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...

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  3. Convert of the complex number in the polar form: 1-i

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  4. If alpha,beta re the roots of a x^2+c=b x , then the equation (a+c y...

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  5. If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)

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  6. If the roots of the equation x^2+2a x+b=0 are real and distinct and t...

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  7. Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...

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  8. If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratios of...

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  9. Find real value of xa n dy for which the complex numbers -3+i x^2ya n...

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  10. Show that ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x...

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  11. Show that e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.

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  12. A certain polynomial P(x), x in R when divided by x-a ,x-b and x-c le...

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  13. It is given that complex numbers z1 and z2 satisfy |z1|=2 and |z2|=3....

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  14. If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b...

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  15. If theta is real and z1, z2 are connected by z1 2+z2 2+2z1z2costheta=0...

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  16. If (a^2-1)x^2+(a-1)x+a^2-4a+3=0 is identity in x , then find the val...

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  17. Show that a real value of x will satisfy the equation (1-i x)//(1+i x)...

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  18. Prove that the roots of the equation (a^4+b^4)x^2+4a b c dx+(c^4+d^4)=...

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  19. If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...

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  20. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

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