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For all complex numbers `z_1, z_2` satisfying `absz_1=12` and `abs(z_2-3-4i)=5`, the minimum value of `abs(z_1-z_2)` is

A

0

B

2

C

7

D

17

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The correct Answer is:
B
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

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  3. For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...

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  4. if z and w are two non-zero complex numbers such that absz=absw and ar...

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  5. If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...

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  6. If (x+iy)^7=a+ib, then (y+ix)^7 is equal to

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  7. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

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  8. The value of underset(k=1)overset10sum(-sin((2kpi)/11)+icos((2kpi)/11)...

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  9. If amp(z1z2)=0 and absz1=absz2=1, then

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  10. if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...

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  11. if amp (z-1)/(z+1)=pi/3, then the locus of z is

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  12. If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...

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  13. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

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  14. Let z1 and z2 be two distinct complex numbers and let z= (1-t)z1+tz2 f...

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  15. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

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  16. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

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  17. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

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  18. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

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  19. Match List - I with List-II

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  20. Match List - I with List-II

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