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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Let z1a n dz2 be two distinct complex numbers and let z=(1-t)z1+t z2 f...
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- If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then ...
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- If |z1-1|lt=1,|z2-2|lt=2,|z(3)-3|lt=3, then find the greatest value o...
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- Let w = (sqrt 3 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Further ...
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- If the roots of equation x^3+a x^2+b=0a r ealpha1,alpha2 and alpha3(a ...
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- If z is a complex number, then find the minimum value of |z|+|z-1|+|2z...
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- Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...
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- If alpha,betaa n dgamma are roots of 2x^3+x^2-7=0 , then find the va...
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- if z is complex no satisfies the condition | Z |>3. T...
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- If alpha is the nth root of unity, then 1+2alpha+3alpha^2+ ton terms e...
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- Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...
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- Locate the region in the Argand plane determined by z^2+ z ^2+2|z^2|<...
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- Given z is a complex number with modulus 1. Then the equation [(1+i a)...
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- The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...
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- For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|
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- The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...
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- The total number of integral values of a so that x^2-(a+1)x+a-1=0 has ...
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- If w=z/[z-(1/3)i] and |w|=1, then find the locus of z
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- Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...
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- The number of positive integral solutions of x^4-y^4=3789108 is a.0 ...
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