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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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 |z|^2w- |w|^2 z = z - w, if...
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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 the roots of the equation z^2+p z+q=0, where the co...
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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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- The maximum value of |a r g(1/(1-z))| for |z|=1,z!=1 is given by.
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- If one root is square of the other root of the equation x^2+p x+q=0, t...
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- If z^4+1=sqrt(3)i (A) z^3 is purely real (B) z represents the vertic...
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- Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0 an...
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- If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i, where...
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- Let alpha,beta be the roots of x^2-x+p=0a n dgamma,delta are roots of ...
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- If the difference between the roots of the equation x^2+""a x""+""1...
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