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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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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- if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...
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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 root of the equation z^(p+q)...
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- If alpha,beta are real and distinct roots of a x^2+b x-c=0 and p ,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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- If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equa...
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- For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...
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- If alpha,beta are the roots of the equation a x^2+b x+c=0, then the va...
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- let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...
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- If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt...
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