Two different non-parallel lines cut the circle `|z| = r` at points `a, b, c and d`, respectively. Prove that these lines meet at the point given by `(a^-1+b^-1-c^-1-d^-1)/(a^-1b^-1-c^-1d^-1)`

Two different non-parallel lines cut the circle |z| = r at points a, b, c and d , respectively. Prove that these lines meet at the point z given by (a^-1+b^-1-c^-1-d^-1)/(a^-1b^-1-c^-1d^-1)

Two different non-parallel lines cut the circle |z| = r at points a, b, c and d , respectively. Prove that these lines meet at the point z given by (a^-1+b^-1-c^-1-d^-1)/(a^-1b^-1-c^-1d^-1)

Two different non-parallel lines cut the circle |z| = r at points a, b, c and d , respectively. Prove that these lines meet at the point z given by (a^-1+b^-1-c^-1-d^-1)/(a^-1b^-1-c^-1d^-1)

Two different non parallel lines cut the circle |z|=r at points a;b;c;d respectively . prove that these lines meet at a point z=(a^(-1)+b^(-1)-c^(-1)-d^(-1))/(a^(-1)b^(-1)-c^(-1)d^(-1))

Two different non parallel lines cut the circle |z|=r at points a;b;c;d respectively.prove that these lines meet at a point ((a^(-1)+(b^(-1)-c^(-1)-d^(-1))/(a^(-1)b^(-1)-c^(-1)d^(-1))

Two different non-parallel lines meet the circle abs(z)=r . One of them at points a and b and the other which is tangent to the circle at c. Show that the point of intersection of two lines is (2c^(-1)-a^(-1)-b^(-1))/(c^(-2)-a^(-1)b^(-1)) .

Two different non-parallel lines meet the circle abs(z)=r . One of them at points a and b and the other which is tangent to the circle at c. Show that the point of intersection of two lines is (2c^(-1)-a^(-1)-b^(-1))/(c^(-2)-a^(-1)b^(-1)) .

Two different non-parallel lines meet the circle abs(z)=r . One of them at points a and b and the other which is tangent to the circle at c. Show that the point of intersection of two lines is (2c^(-1)-a^(-1)-b^(-1))/(c^(-2)-a^(-1)b^(-1)) .

Three points represented by the complex numbers a,b,c lie on a circle with centre 0 and rdius r. The tangent at C cuts the chord joining the points a,b and z. Show that z= (a^-1+b^-1-2c^-1)/(a^-1b^-1-c^-2)

Three points represented by the complex numbers a,b,c lie on a circle with centre 0 and rdius r. The tangent at C cuts the chord joining the points a,b and z. Show that z= (a^-1+b^-1-2c^-1)/(a^-1b^1-c^2)