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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
- The center of a regular polygon of n sides is located at the point z=0...
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- If the points z(1),z(2),z(3) are the vertices of an equilateral triang...
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- For any complex number z, the minimum value of |z|+|z-1|
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- The inequality |z-4| < |z-2| represents
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- Number of non-zero integral solution of the equation |1-i| ^(n)=2^(n),...
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- If "Im"(2z+1)/(iz+1)=-2, then locus of z, is
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- lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imagina...
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- If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.
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- If z(1),z(2), z(3) are vertices of an equilateral triangle with z(0) i...
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- If z1,z2 are two complex numbers such that Im(z1+z2)=0,Im(z1z2)=0, the...
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- If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...
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- 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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