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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- The set of all possible real values of a such that the inequality (x-(...
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- If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...
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- The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...
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- The range of a for which the equation x^2+ax-4=0 has its smaller root ...
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- Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...
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- Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...
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- (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if
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- The total number of values a so that x^2-x-a=0 has integral roots, wh...
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- If i=sqrt(-1) then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is ...
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- Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...
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- If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 ...
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- Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...
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- If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...
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- if a lt c lt b, then check the nature of roots of the equation (a ...
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- Let z1 and z2 be the nth roots of unity which subtend a right angle at...
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- If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...
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- The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...
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- The value of a so that the sum of the squares of the roots of the equa...
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- For all complex niumbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5...
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- If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...
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