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ARIHANT MATHS-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 omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...
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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(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...
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- Let z be a complex number such that the imaginary part of z is nonzero...
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- If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...
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- If z is a 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 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Further ...
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- Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...
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- Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...
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- If z is a complex number such that |z|>=2 then the minimum value of |z...
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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+3isintheta)/(1-2isintheta) is 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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