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The locus of z =I +2exp(i(theta + pi/4)...

The locus of ` z =I +2exp(i(theta + pi/4))` , ( where` theta` is parameter) is

A

a circle

B

an ellipse

C

a parabola

D

hyperbola

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The correct Answer is:
a
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
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  2. If omega is the complex cube root of unity, then the value of omega+om...

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  4. If z lies on the circle |z-1|=1, then (z-2)/z is

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  9. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

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  11. If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed

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  12. If z 1 ​ and z 2 ​ are two non zero complex numbers such that ...

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  13. a and b are real numbers between 0 and 1 such that the points Z1 =a+ i...

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  14. If omega is a cube root of unity, then find the value of the following...

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  15. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  16. If z=re^(itheta) then |e^(iz)| is equal to:

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  17. If a complex number z lies in the interior or on the boundary of a cir...

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  18. Let z1 and z2 be two non - zero complex numbers such that z1/z2+z2/z...

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  19. If z(1),z(2),z(3) be vertices of an equilateral triangle occurig in th...

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