MHT CET · Maths · Circle
The parametric equations of the circle \(x^2+y^2-6 x-2 y+9=0\) are
- A \(x=1+\cos \theta, y=3+\sin \theta\)
- B \(x=3+\cos \theta, y=1+\sin \theta\)
- C \(x=3+\sin \theta, y=1+\cos \theta\)
- D \(x=3+\sin \theta, y=1+\cos \theta\)
Answer & Solution
Correct Answer
(B) \(x=3+\cos \theta, y=1+\sin \theta\)
Step-by-step Solution
Detailed explanation
\(x^2+y^2-6 x-2 y+9=0 \Rightarrow(x-3)^2+(y-1)^2\) \(=1^2 \Rightarrow \) \(x-3=\cos \theta \quad \text { and } \)
\( y-1=\sin \theta\)
Hence, parametric equation is \(x=3+\cos \theta\) and \(y=1+\sin \theta\)
\( y-1=\sin \theta\)
Hence, parametric equation is \(x=3+\cos \theta\) and \(y=1+\sin \theta\)
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