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Let z and w be two complex numbers such ...

Let z and w be two complex numbers such that `|z|le1, |w|le1` and `|z-iw|=|z-i bar w|=2`, then z equals :

A

1 or i

B

i or -i

C

1 or -1

D

i or -1.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
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  2. If a, b, c >0 and if abc=1, then the Value of a+b+c+ab+bc+ca lies in t...

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  3. Let z and w be two complex numbers such that |z|le1, |w|le1 and |z-iw|...

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  4. Find the range of f(x)=(x^2+34 x-71)/(x^2+2x-7)

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  5. If ax^2+bx+c=0 and 2x^2+3x+4=0 have a common root, where a, b, c in N ...

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  6. If (3+i)(z+bar z)-(2+i) (z- bar z)+14i=0, then z bar z =

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  7. 4+5((-1+i sqrt3)/2)^2008 +3((-1+i sqrt3)/2)^2009=

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  8. If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magni...

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  9. If alpha and beta are the roots of the quadratic equation x^2+4x+3=0,...

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  10. Which one of the following is one of the roots of the equation (b-c) x...

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  11. What is the value of x satisfying the equation : 16((a-x)/(a+x))^3= (a...

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  12. If alpha, beta are the roots of the equation : 2x^2-2(1+n^2)x+(1+n^2+n...

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  13. The roots of Ax^2 + Bx + C =0 are r and s. For the roots of x^2+ px + ...

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  14. What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

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  15. If 2^x+3^y =17 and 2^(x+2)-3^(y+1)=5, then what is the value of x ?

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  16. What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

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  17. If z1, z2, z3 are complex numbers such that |z1|= |z2|= |z3| =|1/z1+1/...

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  18. For positive integers n1,n2, the value of the expression : (1+i)^(n1)+...

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  19. If z1, z2 are two complex numbers satisfying the equation |(z1 +z2)/(z...

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  20. The equation z bar z+a bar z+bar a z+b=0, b in R represents a circle i...

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