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The locus of the centre of a circle whic...

The locus of the centre of a circle which touches the circles `|z-z_(1)|=a` and `|z-z_(2)|=b` externally is

A

an ellipse

B

a hyperbola

C

circle

D

none

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  3. The locus of the centre of a circle which touches the circles |z-z(1)|...

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  4. Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...

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  5. If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...

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  6. If ((1+i)/(1-i))^(x)=1, then x=

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  10. If |z^(2)-1|=|z|^(2)+1, then z lies on :

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  11. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

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  12. If omega=(z)/(z-(i)(3)) and |omega|=1, the z lies on

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  13. If w=alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condition ...

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  14. The value of sum(k=1) ^(10)( sin "" ( 2kpi )/( 11) + i cos "" ( 2kpi )...

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