Question:medium

The centre of the circle $(x + 5)^2 + (y - 3)^2 = 36$ is:

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To avoid sign mistakes, equate each bracket expression to zero: \(x+5=0\), \(y-3=0\).
  • $(5, 3)$
  • $(-5, -3)$
  • $(-5, 3)$
  • $(5, -3)$
Show Solution

The Correct Option is C

Solution and Explanation


Step 1: Compare
\[ (x + 5)^2 = (x - (-5))^2 \] \[ (y - 3)^2 \Rightarrow k = 3 \]

Step 2: Identify center
\[ {(-5, 3)} \]
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