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If z=x+iy (x, y in R, x !=-1/2), the num...

If `z=x+iy (x, y in R, x !=-1/2)`, the number of values of z satisfying `|z|^n=z^2|z|^(n-2)+z |z|^(n-2)+1.` `(n in N, n>1)` is

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If a ,b , and c are in A.P. and one root of the equation a x^2+bx+c=0 ...

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  3. If z=x+iy (x, y in R, x !=-1/2), the number of values of z satisfying ...

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  4. If K + |K + z^(2)| =| z|^(2) ( K in R^(-)) , then possible argument ...

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  5. If alpha is the root (having the least absolute value) of the equation...

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

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

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  8. If a lt b lt c lt d, then for any real non-zero lambda, the quadratic...

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

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

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

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

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

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

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

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

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

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  18. find the centre and radius of the circle formed by all the points repr...

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  19. If a ,b ,c are three distinct positive real numbers, the number of rea...

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  20. Find the non-zero complex number z satisfying z =i z^2dot

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