117980
Let the point \(P\) represent \(z=x+i y, x, y \in R\) in the argand plane. Let the curves \(C_1\) and \(C_2\) be the loci of \(P\) satisfying the conditions
(i) \(\frac{2 z+i}{z-2}\) is purely imaginary and
(ii) \(\operatorname{Arg}\left(\frac{z+i}{z+1}\right)=\frac{\pi}{2}\) respectively. Then the point of intersection of the curves \(C_1\) and \(\mathrm{C}_2\), other than the origin, is
117980
Let the point \(P\) represent \(z=x+i y, x, y \in R\) in the argand plane. Let the curves \(C_1\) and \(C_2\) be the loci of \(P\) satisfying the conditions
(i) \(\frac{2 z+i}{z-2}\) is purely imaginary and
(ii) \(\operatorname{Arg}\left(\frac{z+i}{z+1}\right)=\frac{\pi}{2}\) respectively. Then the point of intersection of the curves \(C_1\) and \(\mathrm{C}_2\), other than the origin, is
117980
Let the point \(P\) represent \(z=x+i y, x, y \in R\) in the argand plane. Let the curves \(C_1\) and \(C_2\) be the loci of \(P\) satisfying the conditions
(i) \(\frac{2 z+i}{z-2}\) is purely imaginary and
(ii) \(\operatorname{Arg}\left(\frac{z+i}{z+1}\right)=\frac{\pi}{2}\) respectively. Then the point of intersection of the curves \(C_1\) and \(\mathrm{C}_2\), other than the origin, is
117980
Let the point \(P\) represent \(z=x+i y, x, y \in R\) in the argand plane. Let the curves \(C_1\) and \(C_2\) be the loci of \(P\) satisfying the conditions
(i) \(\frac{2 z+i}{z-2}\) is purely imaginary and
(ii) \(\operatorname{Arg}\left(\frac{z+i}{z+1}\right)=\frac{\pi}{2}\) respectively. Then the point of intersection of the curves \(C_1\) and \(\mathrm{C}_2\), other than the origin, is