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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...
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- Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, t...
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- Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^...
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- If z1, z2, z3 be the affixes of the vertices A, B and C of a triangle...
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- The number of complex numbers z such that |z|=1 and |z/ barz + barz/z...
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- Given that x^2-3x+1=0, then the value of the expression y=x^9+x^7+x^(-...
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- If i z^4+1=0, then prove that z can take the value cospi//8+isinpi//...
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- Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(s...
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- Suppose a ,b ,c in I such that the greatest common divisor for x^2+a ...
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- Find the value of following expression: [(1-cospi/(10)+isinpi/(10))/(1...
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- Dividing f(z) by z- i, we obtain the remainder i and dividing it by z...
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- If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consec...
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- If z1, z2 in C ,z1^2+z2^2 in R ,z1(z1^2-3z2^2)=2 and z2(3z1^2-z2^2)...
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- If cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamm...
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- If x+y+z=12 andx^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then the value x^3+...
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- Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4), where n is a pos...
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- The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...
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- If the equation x^2+ax+bc=0" and " x^2-bx+ca=0 have a common root, the...
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- If a r g["z"1("z"3-"z"2)]="a r g"["z"3("z"2-"z"1)] , then find prove t...
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- If x" - "i y" "=sqrt((a-i b)/(c-i d)) prove that (x^2+y^2)^2=(a^2+b^2...
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