Question:
The centre of the circle $(x + 5)^2 + (y - 3)^2 = 36$ is:
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: \(x+5=0\), \(y-3=0\).
Updated On: Jun 16, 2026
- $(5, 3)$
- $(-5, -3)$
- $(-5, 3)$
- $(5, -3)$
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The Correct Option is C
Solution and Explanation
Concept:
Standard form of circle:
\[
(x-h)^2 + (y-k)^2 = r^2
\]
Center is \((h,k)\).
Step 1: Compare \[ (x + 5)^2 = (x - (-5))^2 \] \[ (y - 3)^2 \Rightarrow k = 3 \]
Step 2: Identify center \[ \boxed{(-5, 3)} \]
Step 1: Compare \[ (x + 5)^2 = (x - (-5))^2 \] \[ (y - 3)^2 \Rightarrow k = 3 \]
Step 2: Identify center \[ \boxed{(-5, 3)} \]
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