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Question

The system of equation z+1i=2 and z=3 has

A
no solution
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B
one solution
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C
two solutions
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D
infinite number of solutions
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Solution

The correct option is A no solution

Explanation:The given system of equations represent the system of circles (x+1)2+(y1)2=2 and
x2+y2=9

The distance between their centers is 2 and difference between their radii is
32>2.Therefore, the first circle lies within the second circle.
Therefore the given system of given has no solution.


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