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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
- Let z=x+i y be a complex number where xa n dy are integers. Then, the ...
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- Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...
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- If |Z-4/Z|=2 then maximum value of |Z| is equal to
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- Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...
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- Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...
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- If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(20...
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- The number of complex numbers z such that |z-1|=|z+1|=|z-i| is
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- 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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