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if 2 is complex no. satisfing the equation |z - 2i |+ | z+2i| = 10, then maximam value of |z-8i| is
Asked by yadavashishkryadav | 13 Jan, 2023, 09:37: AM
answered-by-expert Expert Answer
Given: |z - 2i| + |z + 2i| = 10
To find the maximum value of |z - 8i|
open vertical bar straight z minus 2 straight i close vertical bar plus open vertical bar straight z plus 2 straight i close vertical bar greater or equal than open vertical bar straight z minus 2 straight i plus straight z plus 2 straight i close vertical bar equals open vertical bar 2 straight z close vertical bar
rightwards double arrow 10 greater or equal than open vertical bar 2 straight z close vertical bar
rightwards double arrow open vertical bar straight z close vertical bar less or equal than 5
open vertical bar straight z minus 8 straight i close vertical bar less or equal than open vertical bar straight z close vertical bar plus open vertical bar 8 straight i close vertical bar equals open vertical bar straight z close vertical bar plus 8 less or equal than 5 plus 8 equals 13
rightwards double arrow open vertical bar straight z minus 8 straight i close vertical bar less or equal than 13
Thus comma space the space maximum space value space of space open vertical bar straight z minus 8 straight i close vertical bar space is space 13.
Answered by Renu Varma | 16 Jan, 2023, 10:45: AM
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