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ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
- If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...
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- The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...
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- The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.
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- Let alpha and beta be real numbers and z be a complex number. If z^(2...
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- If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...
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- Let z be a complex number such that the imaginary part of z is nonz...
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- If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...
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- If z is complex number of unit modulus and argument theta then arg ...
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- Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...
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- Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...
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- Express in the form of complex number if z=i^(-39)
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- Express in the form of complex number (1-i)^4
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- If z is a complex number such that |z|geq2 , then the minimum value...
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- A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...
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- Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...
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- For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...
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- A value of theta for which (2+3i sin theta)/(1-2i sintheta) purely ima...
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- Let 0 ne a, 0 ne b in R. Suppose S={z in C, z=1/(a+ibt)t in R, t ne ...
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- Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...
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