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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If |2z-1|=|z-2|a n dz1, z2, z3 are complex numbers such that |z1-alph...
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- If (cgt 0) and 2ax^2+3bx+5c=0 does not have any real roots, then prove...
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- Find the number of complex numbers which satisfies both the equations ...
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- Let omega be the complex number cos(2pi/3)+isin(2pi/3) Then the number...
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- If a x^2+b x+6=0 does not have distinct real roots, then find the leas...
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- |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...
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- Match the statements/expressions given in column I with the values g...
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- A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...
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- If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot
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- Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...
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- Find the complex number satisfying system of equation z^(3)=-((omega))...
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- If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...
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- If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...
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- For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...
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- If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d....
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- Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot
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- Let omega=e^(ipi/3),and a,b,c,x,y,z be non zero complex numbers such t...
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- Find the values of a for which all the roots of the euation x^4-4x^3-8...
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- if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...
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- Let |(( bar z 1)-2( bar z 2))//(2-z1( bar z 2))|=1 and |z2|!=1,where z...
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