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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...
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- If z=x +i y such that |z+1|=|z-1| and arg((z-1)/(z+1))=pi/4 , then fin...
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- If x y=2(x+y),xlt=y and x ,y in N , then the number of solutions of t...
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- If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...
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- If pa n dq are distinct prime numbers, then the number of distinct im...
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- The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. ...
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- What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-p...
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- If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is
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- The number of integral values of a for which the quadratic equation (x...
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- Ifomega is the imaginary cube root of unity and a+b+c=0 then show that...
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- If z is a complex number having least absolute value and |z-2+2i|=1,th...
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- If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, th...
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- Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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- The number of the real solutions of the equation x^2-3absx+2=0 is
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- If |z-1| + |z + 3| le 8, then prove that z lies on the circle.
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- If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...
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- If the quadratic equation a x^2+b x+6=0 does not have real roots and b...
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- If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...
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- If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt...
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