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For all complex numbers z 1 , z 2 satisfying l z 1 l= 12 lz 2 – 3 l=5 the minimum value of l z 1 - z 2 l is ??? plz explain also
For all complex numbers z1, z2 satisfyingl z1 l= 12     lz2 – 3 l=5the minimum value of l z1 - z2 l is ???plz explain also

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9 months ago

2074 Points
```							We know that |z-0|=12 and |z-3|= 5 represent circles with centre and radius 0, 12 and 3, 5 respectively.So, if you draw the circles in argand plane, you will see that the minimum distance occurs when z1 and z2 are along the x axis, so that z1= 8 and z2= 12Since |z1-z2| represents the distance between z1 and z2, it is equal to
```
9 months ago
2074 Points
```							From above(Continued)|12-8|= 4 which is minimum value of the distanceKINDLY APPROVE :))))))))))))))
```
9 months ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions