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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
- If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2...
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- If n (ne 3) is an integer and z = -1 + isqrt3 , then z^(2n) + 2^(n) ,...
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- If |(z - 4bari)/(z-2)| = 2 then the locus of z is
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- The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is
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- If |z| = sqrt2 then the point given by "3 + 4z" lies on a circle whos...
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- The complex equation |z + 1- i| = |z + i-1| represents a
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- If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i/...
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- If |z + barz| + |z - barz| = 2 then z lies on
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- If |z^(2) - 1| = |z|^(2) + 1 , then z lies on
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- If omega is a complex cube root of unity , then sum(k = 1)^(6) ( omega...
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- If z(barz+3)=2 then the locus of z = x + iy is
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- If alpha + ibeta = tan^(-1) (z) , z = x +iy and alpha is constant then...
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- If (z - i)/(z +1) is purely imaginary then the locus of z = x +iy is
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- If log (tan 30^(@)) ( (2 |z|^(2) + 2 |z| - 3)/(|z| + 1)) lt -2 , then
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- The locus of z satisfying the inequality log ((1)/(3)) |z + 1| gt log(...
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- If z(1) = 8 + 4i , z(2) = 6 + 4i and z be a complex number such that ...
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- The triangle formed by the points 1 , (1 +i)/(sqrt2) and ias vertices ...
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- If |z| =3 , the area of the triangle whose sides are z , omega z and ...
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- Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...
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- In Argand diagram , O , P , Q represent the origin , z and z +iz resp...
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