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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- The value of absz^2+abs(z-3)^2+abs(z-i)^2 is minimum when z equals
06:30
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- Let z1 be a fixed point on the circle of radius 1 centered at the orig...
02:41
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- Let alpha ,beta denote the cube roots of unity other than 1 and alpha ...
06:39
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- Let complex numbers alpha and 1/alpha^- lie on circles (x-x0)^2+(y-y0...
11:05
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- If z is a complex number of unit modulus and argument theta then arg(...
01:39
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- Let z1=2+3i and z2=3+4i be two points on the complex plane then the se...
05:42
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- Suppose z=x+iy where x and y are real numbers and i=sqrt(-1) the point...
06:12
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- If P,Q,R are angles of an isosceles triangle and anglep=pi/2 then the ...
05:21
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- Let z be a complex number such that the imaginary part of z is non zer...
03:30
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- If z ne 1 and (z^2)/(z-1) is real then the point represented by the co...
05:58
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- The maximum value of absz when the complex number z satisfies the cond...
03:03
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- If (3/2+isqrt3/2)^50=3^25(x+iy)where x and y are real then the order P...
03:23
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- If (z-1)/(z+1) is purely imaginary then
03:14
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- The points representing the complex number z for which arg((z-2)/(z+2)...
03:31
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- if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...
04:09
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- Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...
04:50
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- If omega(ne1) is a cube root of unity and (1+omega)^7=A+Bomega then (A...
02:16
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- For the real parameter t,the locus of the complex number z=(1-t^2)+isq...
01:26
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- If x+(1/x)=2costheta then for any integer n,x^n+1/x^n=
03:22
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- If omega ne1 is a cube root of unity then the sum of the series S=1+2o...
04:16
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