Complex Inequality :o
If Z represents a complex number in the argand plane and Then What is the value of a + b ?
The answer is 10.
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1 solution
Z represents any point inside the circle with centre (1,0) and radius 3.
Take iota common in the second inequality. |Z - (3i + 5)| is the distance of a point Z from (5,3).
a and b correspond to the shortest and longest distances of the point Z from (5,3). These distances will lie upon the line that passes through the center and (5,3)
a=2,b=8