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If (5z2)/(7z1) is purely imaginary , th...

If `(5z_2)/(7z_1)` is purely imaginary , then `|(2z_1+3z_2)/(2z_1-3z_2)|=`

A

`5//7`

B

`7//9`

C

`25//49`

D

1

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. For any two complex numbers z1,z2 and real numbers a and b , |az1 -bz2...

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  2. If |z1|=|z2|=1 , then |z1+z2| =

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  3. If (5z2)/(7z1) is purely imaginary , then |(2z1+3z2)/(2z1-3z2)|=

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  4. tan{ilog((a-ib)/(a+ib))}=

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  5. If |z-4//z|=2 then the greatest value of |z| is

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  6. The maximum value of |z| when z satisfies the condition |z+2/z|=2 is

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  7. The minimum value of |z-1|+ |z-5| is

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  8. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

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  9. If the point z = (1+i) (1+2i)(1+3i)…(1+10i) lies on a circle with cent...

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  10. If |z-1| = 2 then the locus of z is

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  11. If |3z-2|=5 then the locus of z is

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  12. If |z-3+i| = 4 then the locus of z = x +iy is

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  13. If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

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  14. The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|...

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  15. If |(z-a)/(z+a)|=1 where Re (a)ne0 then locus of z = x +iy is

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  16. If |(z-i)/(z+i)|=1 then the locus of z is

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  17. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

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  18. The locus of the point z = x + iy satisfying |(z-2i)/(z+2i)|=1 is

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  19. If |(z+4i)/(z-2)|=2 then the locus of z is

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  20. The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i...

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