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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
- If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2, then the locus of z is
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- Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g...
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- If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...
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- If |z(1)|=|z(2)|=|z(3)| and z(1)+z(2)+z(3)=0, then z(1),z(2),z(3) are ...
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- If x(n)=cos(pi/3^(n))+isin((pi)/(3^(n))), then x(1),x(2),x(3),……………….....
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- If (a1+ib1)(a2+ib2).....(an+ibn)=A+iB, then (a1^2+b1^2)(a2^2+b2^2).......
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- If (a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)^(n) ...
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- If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0 then the ...
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- 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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