taiwan-gsat 2025 Q2

taiwan-gsat · Other · ast__math-b 5 marks Circles Circle Identification and Classification
On the coordinate plane, which of the following equations represents a circle passing through the point $(1,1)$?
(1) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 1$
(2) $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$
(3) $3 ( x - 1 ) ^ { 2 } + y ^ { 2 } = 1$
(4) $x ^ { 2 } + y ^ { 2 } = 1$
(5) $x ^ { 2 } + 3 y = 4$
On the coordinate plane, which of the following equations represents a circle passing through the point $(1,1)$?\\
(1) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 1$\\
(2) $( x - 1 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$\\
(3) $3 ( x - 1 ) ^ { 2 } + y ^ { 2 } = 1$\\
(4) $x ^ { 2 } + y ^ { 2 } = 1$\\
(5) $x ^ { 2 } + 3 y = 4$