``$\mathrm { x } = 1$'' is ``$\mathrm { x } ^ { 2 } - 2 x + 1 = 0$'' a (A) necessary and sufficient condition (B) sufficient but not necessary condition (C) necessary but not sufficient condition (D) neither sufficient nor necessary condition
``$\mathrm { x } = 1$'' is ``$\mathrm { x } ^ { 2 } - 2 x + 1 = 0$'' a
(A) necessary and sufficient condition
(B) sufficient but not necessary condition
(C) necessary but not sufficient condition
(D) neither sufficient nor necessary condition