1.

Let the point P pepresent z = x + iy , x , y in Rin the argand plane . Let thecurvesC_(1) and C_(2)be the loci of Psatisfying the conditions(i)(2z+i)/(z - 2)is purely imaginary and(ii) Arg ((z+i)/(z+1)) = (pi)/(2)respectively .Then the point of intersection of the curves C_(1) andC_(2), other thanthe origin, is

Answer»

(1,2)
`((2)/(7),-(5)/(7))`
`(-3,4)`
`((5)/(37),-(30)/(37))`

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