AP EAMCET · Maths · Circle
Parametric equations of the circle \(2 x^2+2 y^2=9\) are
- A \(x=\frac{3}{2} \cos \theta, y=\frac{3}{2} \sin \theta\)
- B \(x=\frac{3}{\sqrt{2}} \cos \theta, y=3 \sin \theta\)
- C \(x=\frac{3}{\sqrt{2}} \sin \theta, y=\frac{3}{\sqrt{2}} \cos \theta\)
- D \(x=3 \sin \theta, y=\frac{3}{2} \cos \theta\)
Answer & Solution
Correct Answer
(C) \(x=\frac{3}{\sqrt{2}} \sin \theta, y=\frac{3}{\sqrt{2}} \cos \theta\)
Step-by-step Solution
Detailed explanation
Given circle: \(2 x^2+2 y^2=9 \Rightarrow x^2+y^2=\frac{9}{2}\) \(\Rightarrow\) Centre is \((0,0)\) and \(r=\frac{3}{\sqrt{2}}\) Parametric equation is given by…
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