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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- The complex numbers z1=2+5i, z2=3-4i and z3=-4+i are represented by th...
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- Complex conjugate of 1+2i is 1-2i
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- Find the square roots of 9 + 40i.
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- Prove that (a+bw+cw^2)/(c+aw+bw^2)=w^2(w (being an imaginary cube root...
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- If w is an imaginary cube root of unity then prove that (1-w)(1-w^2)(1...
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- For z = 4-3i Modulus of z
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- Determine the amplitude of the complex numbers -1-i
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- Determine the amplitude of the complex numbers -1+sqrt3i
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- Represent the complex number z=1+isqrt3 in polar form.
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- Find the modulus and of the amplitude of the complex numbers: (1+i)/(1...
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- Find the modulus and of the complex of the complex numbers: 1/(1+i)
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- If sqrt(a+ib)=x+iy then prove that sqrt(a-ib)=x-iy
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- If x+iy=(a+ib)/(a-ib) prove that x^2+y^2=1
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- Express (2+3i)/(2-i) in the form a+ib
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- Draw argand diagram of 6+2i.
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- If z=a+ib and |z-2|=|2z-1|prove that a^2-b^2=1
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- Find the value of 2^n/((1+i)^(2n))+(1+i)^(2n)/(2^n)
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- Show that sqrti+sqrt(-i)=sqrt2
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- Simplify : sqrt(-81)+sqrt(-64), i^2+1/i^2,i^-106
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- Find the square root of 7+24i
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