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IMPORTANT
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If z is a complex number satisfying Rez+Imz=4, then z cannot be

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Important Questions on Complex Numbers

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JEE Main
IMPORTANT
All the points in the set S=α+iα-i, αR, i=-1 lie on a
HARD
JEE Main
IMPORTANT
Let α and β be the roots of the equation x2+2x+2=0, then α15+β15 is equal to
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JEE Main
IMPORTANT
Let A=θ-π2,π:3+2isinθ1-2i sinθ is purely imaginary . Then the sum of the elements in A is:
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JEE Main
IMPORTANT
Let z0 be a root of quadratic equation, x2+x+1=0.  If z=3+6iz081-3iz093 , then arg z is equal to:
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JEE Main
IMPORTANT
If z=32+i2 i=-1,  then 1+iz+z5+iz89 is equal to:
MEDIUM
JEE Main
IMPORTANT
If a>0 and z=(1+i)2a-i , has magnitude 25 , then z- is equal to:
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JEE Main
IMPORTANT
If z and ω are two complex numbers such that zω=1 and argz-arg(ω)=π2, then: