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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If a ,b ,a n dc are in A.P. and one root of the equation a x^2+b c+c=0...
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- If z=x+iy (x, y in R, x !=-1/2), the number of values of z satisfying ...
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- If K + |K + z^(2)| = \ z|^(2) ( K in R^(-)) , then possible argument...
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- If alpha is the root (having the least absolute value) of the equation...
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- If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha <1< beta...
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- If z=x+iy and x^(2)+y^(2)=16, then the range of abs(abs(x)-abs(y)) is
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- If a lt b lt c lt d, then for any real non-zero lambda, the quadratic...
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- If k>0, |z|=|w|=k, and alpha=(z-bar w)/(k^2+zbar(w)), then Re(alpha) ...
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- The quadratic x^2+a x+b+1=0 has roots which are positive integers, th...
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- The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+...
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- Let a complex number alpha,alpha!=1, be a rootof hte euation z^(p+q)-z...
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- If alpha,beta are real and distinct roots of a x^2+b x-c=0a n dp ,q ar...
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- Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) le...
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- Prove that there exists no complex number z such that |z| < 1/3 an...
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- A quadratic equation with integral coefficients has two different prim...
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- Find the centre and radius of the circle formed by all the points repr...
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- If a ,b ,c are three distinct positive real numbers, the number of rea...
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- Find the non-zero complex number z satisfying z =i z^2dot
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- Let a,b and c be real numbers such that 4a+2b+c=0 and ab gt 0.Then t...
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- If |z|<=1,|w|<=1, then show that |z- w|^2<=(|z|-|w|)^2+(argz-argw)^2
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