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If |z^(2)|=9|z|, find the maximum and mi...

If `|z^(2)|=9|z|`, find the maximum and minimum values of `|z|`.

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The correct Answer is:
max, value 9; min, vlaue 0
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
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  2. If x+iy moves on the line 3x+4y+5=0, prove that the minimum value of ...

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  3. If |z^(2)|=9|z|, find the maximum and minimum values of |z|.

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  4. Find the greatest value of |z| when |z-(6)/(z)|=2,z being a complex nu...

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  7. If one root of the equation ax^(2)-2ibx-ic=0 be square of the other, t...

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  8. Solve (7y^(2)+1)/(y^(2)-1)-4 ((y^(2)-1)/(7y^(2)+1))=-3

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  9. Solve (x-(x)/(x+1))^(2)+2x((x)/(x+1))=3

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  10. If alpha and beta are the roots of ax^(2)+bx+cid=0 find the equation ...

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  14. Find the term independent of x in the expansion, ((x+1)/(x^(2//3)-x^(...

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  15. Find the remainder if number 2^(2003) is divided by 17.

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  16. Find last three digits of the number 17^(256).

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  17. Find the sum of the series, (1^(2))/(3)+(1^(2)+2^(2))/(5)+(1^(2)+2^(...

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  18. Find the value of sum(r=1)^(n) (r)/(1+r^(2)+r^(4))

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  19. If a(1),a(2),a(3),.. from a G.P. with common ratio r, find in terms ...

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  20. Show that (111...1)/(91 "digits") is a composite number.

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