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SAT® Math

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Moderate

Finding a Point on a Circle

SATMAT-1VKXCJ

Circle $C$ is defined by the equation: $ { (x+1) }^{ 2 }+{ (y-3) }^{ 2 }=\frac { 16 }{ 9 } $.

If $(a,b)$ is a point which lies on the graph of circle $C$, then which of the following is a possible value for $a$?

(No Calculator)

A

$ 1\cfrac { 1 }{ 3 } $

B

$ \cfrac { 1 }{ 2 } $

C

$ -2\cfrac { 2 }{ 3 } $

D

$ -2\cfrac { 1 }{ 4 } $