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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- The area of the triangle in the complex plane formed by the points z, ...
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- The origin and the roots of the equation z^2+pz+q=0 form an equilatera...
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- If n is a positive integer, then, (1+isqrt3)^n+(1-isqrt3)^n=
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- If absz1=absz2=absz3=1 and z1+z2+z3=0, then z1, z2, z3 are vertices of
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- The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...
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- If P represents z=x+iy in the argand plane and abs(z+1-i)=abs(z+i-1) t...
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- If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...
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- The number of solution of the system of equations Re(z^2)=0, absz=2 is
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- z1, z2, z3 are three points lying on the circle absz=1 , maximum value...
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- The system of equations abs(z+1-i)=sqrt2 ,absz=3 has
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- If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...
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- If z1 and z2 be two complex numbers such that abszle1, absz2le1, abs(z...
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- If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...
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- Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...
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- If absz=min{abs(z-1), abs(z+1)}, then
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- If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...
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- if z^2+z+1=0, then the value of (z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+...
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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- If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...
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- The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...
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