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CBSE Class 11-commerce Answered

Which region is given by following equations and inequations? Also indicate on complex plane. 1) arg(z-1-i)=π/4 2)|z+i| >=|z+2|
Asked by vardhanishita9500 | 22 Jun, 2019, 04:17: AM
answered-by-expert Expert Answer
a r g left parenthesis z minus 1 minus i right parenthesis equals straight pi over 4
a r g left parenthesis left parenthesis x minus 1 right parenthesis plus i left parenthesis y minus 1 right parenthesis right parenthesis equals straight pi over 4
rightwards double arrow tan to the power of negative 1 end exponent open parentheses fraction numerator y minus 1 over denominator x minus 1 end fraction close parentheses equals straight pi over 4
rightwards double arrow fraction numerator y minus 1 over denominator x minus 1 end fraction equals 1
rightwards double arrow y minus 1 equals x minus 1
rightwards double arrow x equals y
T h i s space r e p r e s e n t s space a space s t r a i g h t space l i n e
Answered by Renu Varma | 24 Jun, 2019, 11:39: AM

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