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Interpret the following locii in z in C...

Interpret the following locii in `z in C`

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The correct Answer is:
a ray emanating from the point (3 + 4i) directed away from the origin & having equation, `sqrt3x-y-3sqrt3=0,xgt3`
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Read the following writeup carefully: If z_1 = a+ib and z_2 =c + id be two complex numbers such that |z_1| = |z_2|=1 and "Re" (z_1 bar(z_2))=0 . Now answer the following question If a , b gt 0 and c lt 0 , then

Read the following writeup carefully: If z_1 = a+ib and z_2 =c + id be two complex numbers such that |z_1| = |z_2|=1 and "Re" (z_1 bar(z_2))=0 . Now answer the following question Let k = |z_1 + z_2| + |a+ ib| , then the value of k is

MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
  1. Interpret the following locii in z in C. 1lt|z-2i|lt3

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  2. Interpret the following locii in z in C. Im (z)ge1

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  3. Interpret the following locii in z in C

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  4. If |z – 2 + i| ge2, then find the greatest and least value of |z|.

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  5. If |z + 3| le 3 then find minimum and maximum values of |z|

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  6. If |z + 3| le 3 then find minimum and maximum values of |z-1|

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  7. If |z + 3| le 3 then find minimum and maximum values of |z+1|

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  8. If O is origin and affixes of P, Q, R are respectively z, iz, z + iz. ...

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  9. If O is origin and affixes of P, Q, R are respectively z, iz, z + iz. ...

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  10. The region represented by RE(z)<=2, Im(z)<=2 and pi/8<=arg(z)<=(3pi)/8...

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  11. Let I Arg((z-8i)/(z+6))=pmpi/2 II: Re ((z-8i)/(z+6))=0 Show that ...

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  12. if a and bbetween 0 and 1 such that the points (a, 1). (1, b) and (0, ...

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  13. Find the non-zero complex numbers z satisfying z =i z^2dot

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  14. If the complex numbers z1, z2,.......zn lie on te unit circle |z| = 1 ...

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  15. Find the Cartesian equations of the locus of z in the complex plane sa...

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  16. Prove that the complex numbers z1 and z2 and the origin form an isosce...

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  17. If the complex number P(w) lies on the standard unit circle in an Arg...

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  18. Let z=x+i y be a complex number, where xa n dy are real numbers. Let A...

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  19. For all real numbers x, let the mapping f (x) = 1/(x-i). where i =sqrt...

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  20. Given that |z-1|=1, where z is a point on the argand planne , show...

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