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`        Hi please solve above 2 problems kindly .i hope you can understand thankyou`
one year ago

1808 Points
```							note that |z1|^2=4 |z2|^2=9 and |z3|^2=16also |z|^2= z*zbarsimply write |4z2z3+9z1z3+16z1z2|=|z1*z1barz2z3+z2*z2barz1z3+z3*z3barz1z2|=|z1||z2||z3||z1bar+z2bar+z3bar|=2*3*4*|(z1+z2+z3)whole bar|=24*|(z1+z2+z3)|=24*5=120in second question simply apply geometry and draw a circle with centre i and radius 5 in the argand plane. then write |iz+z1| as |z – iz1| which represents the distance between z and iz1. you will find that iz1 lies on the circumference of the circle described above. so obviously the minimum and max distances between z and iz1 can be 0 and 2*r=2*5= 10 respectively
```
one year ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
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