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If x and y are complex numbers, then the...

If `x and y` are complex numbers, then the system of equations `(1+i)x+(1-i)y=1,2i x+2y=1+i` has (a) Unique solution (b) No solution (c) Infinite number of solutions (d) None of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. If x and y are complex numbers, then the system of equations (1+i)x+(1...

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  8. If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha &lt;1< beta...

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  9. If z=x+iy and x^(2)+y^(2)=16, then the range of abs(abs(x)-abs(y)) is

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  11. If k>0, |z|=|w|=k, and alpha=(z-bar w)/(k^2+zbar(w)), then Re(alpha) ...

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  12. The quadratic x^2+a x+b+1=0 has roots which are positive integers, th...

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  13. if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...

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  14. The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+...

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  15. Let a complex number alpha,alpha!=1, be a root of the equation z^(p+q)...

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  16. If alpha,beta are real and distinct roots of a x^2+b x-c=0 and p ,q ar...

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  17. Let a!=0 and p(x) be a polynomial of degree greater than 2. If p(x) le...

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  18. Prove that there exists no complex number z such that |z| &lt; 1/3 an...

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  19. A quadratic equation with integral coefficients has two different prim...

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