For What Value Of $a$ Does the Equation $x ^ { 2 } + y ^ { 2 } - a x + 6 y + 33 = 0$

question 52

Multiple Choice

For what value of $a$ does the equation $x ^ { 2 } + y ^ { 2 } - a x + 6 y + 33 = 0$ represent a circle with center $( 7 , - 3 )$ ? When $a$ assumes this value, what is the radius of the circle?

• A) \(\quad a = 14\), radius \(= 5\)
• B) \(\quad a = 13 , \quad\) radius \(= 4\)
• C) \(\quad a = 13\), radius \(= 6\)
• D) \(\quad a = 15 , \quad\) radius \(= 7\)
• E) \(\quad a = 12 , \quad\) radius \(= 6\)

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