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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- Prove that, (1-w+w^2)^4+(1+w-w^2)^4=-16
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- Prove that (1+w)(1+w^2)(1+w^4)(1+w^8)=1 where w is the imagination cu...
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- If w be an imaginary cube root of unity, prove that (1-w+w^2)^2+(1+w-w...
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- Prove that (1-w+w^2)^5+(1+w-w^2)^5=32
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- If w is the imaginary cube root of unity evaluate |(1,w,w^2),(w,w^2,1...
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- If, x = 3 +i then find the value of the expression x^4-4x^3+4x^2-16x+6...
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- If x=1/sqrt2(1+i)then show that x^6+x^4+x^2+1=0
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- If z=cos30^@+isin30^@, find z^7
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- Show that, ((cos2theta+isin2theta)^3(cos3theta-isin3theta)^4)/((cos3th...
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- Find the values of (1+i)^(1/7)
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- Find the values of (-i)^(1/6
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- Find the values of (-i)^(2/5)
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- If n be a positive integer, then prove that (1+i)^n+(1-i)^n=2^(n/2+1)....
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- If a=costheta+isintheta, b=cos phi+isinphi,find the values of cos(thet...
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- Show that complex numbers z1=-1+5i and z2=-3+2i on the argand plane.
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- Find the complex conjugate of 3+i
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- Find the complex conjugate of 2+5i
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- Find the complex conjugate of -3i-5
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- Find the multiplicative inverse of 3-5i
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- Express the following in the form of a+ib: (5i)((1)/(8)i)
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