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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
- If alpha,beta,gamma are the cube roots of p, then for any x,y,z (x al...
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- Prove that t a n(i(log)e((a-i b)/(a+i b)))=(2a b)/(a^2-b^2)(w h e r ea...
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- Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...
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- The locus of the points representing the complex numbers z for which |...
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- For n=6k, k in z, ((1-isqrt(3))/(2))^(n)+((-1-isqrt(3))/(2))^(n) has t...
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- The product of all values of (cosalpha+isinalpha)^(3//5) is
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- If C^(2)+S^(2)=1, then (1+C+iS)/(1+C-iS) is equal to
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- The center of a square ABCD is at z=0. The affix of the vertex A is z(...
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- The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...
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- The vector z=-4+5i is turned counter clockwise through an angle of 180...
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- The value of [sqrt(2)(cos(56^(@)15^('))+isin(56^(@)15^('))]^(8), is
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- Find the complex number z satisfying the equations |(z-12)/(z-8i)|=5/...
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- The vertices B and D of a parallelogram are 1-2i and 4-2i If the diago...
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- If for complex numbers z(1) and z(2), arg z(1)-"arg"(z(2))=0 then |z(1...
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- The join of z(1)=a+ib and z(2)=1/(-a+ib) passes through
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- If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...
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- The value of sum(r=1)^(8)(sin(2rpi)/9+icos(2rpi)/9), is
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- If z(1),z(2),z(3),…………..,z(n) are n nth roots of unity, then for k=1,2...
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- If z1,z2 and z3,z4 are two pairs of conjugate complex numbers then arg...
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- If |z(1)|=|z(2)| and arg (z(1))+"arg"(z(2))=0, then
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