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If z=λ+3-i5-λ2, then the locus of z is

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Important Questions on Complex Numbers

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JEE Main/Advance
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Let z=1-t+it2+t+2, where t is a real parameter. The locus of z in the argand plane is
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If z1 & z2 are the complex roots of the equation x-33+1=0, then z1+z2 equals to
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Which of the following is equal to -13?
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If x2+x+1=0, then the value of x+1x2+x2+1x22+...+x27+1x272 is
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Sum of the common roots of the equations z3+2z2+2z+1=0 and z1985+z100+1=0 is
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JEE Main/Advance
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If 5x3+Mx+N where M, NR is divisible by x2+x+1, then the value M + N is 
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If z=x+iy & x2+y2=16, then the range of x-y is
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IMPORTANT
If z is a complex number satisfying the equation z6-6z3+25=0, then the value of z is