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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- Find the value of : (1-i)^(1//3).
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- Find the value of : (1-sqrt3i)^(2//5).
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- Find the value of : root(4)(-64).
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- Find the value of : (1+i)^n, n inN
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- Solve for x : x^5-1=0.
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- Solve for x : x^6-1=0.
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- Solve for x : x^5+x^3-x^2-1 =0.
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- Solve for x : x^4+x^3+x^2+x+1 =0.
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- Sum of common roots of the equations z^(3) + 2z^(2) + 2z + 1 =0 and z...
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- Solve: "^8C0x^8+^8C2x^6+^8C4x^4+^8C6x^2+1=0.
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- Find the integral solutions of the following equation: (1-i)^x=(1+i)^x
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- Solve (1+i)^x = 2^x where x is an integer ne 0.
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- If x^2-2xcos theta+1=0, then the value of x^(2n)-2x^n cosntheta+1, n ...
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- If 2cos A = x+1/x , 2cosbeta=y+1/y then show that 2cos(A-B) =x/y+y/x.
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- If xn =cos ((pi)/(2^(n)))+isin((pi)/(2^(n)))Prove that x1 x2…..xoo=-1
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- If z1, z2 be the complex numbers satisfying x^2+4=2x, prove that z1^n+...
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- If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...
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- If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...
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- If z^7+1 =0 then cos(pi/7) cos((3pi)/7) cos((5pi)/7) is (A) 1/8 ...
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- Hence deduce that cos(pi)/(9)cos(2 pi)/(9)cos(3 pi)/(9)cos(4 pi)/(9)=(...
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