AP EAMCET · Maths · Ellipse
The distance between the focii of the ellipse \(x=3 \cos \theta\), \(y=4 \sin \theta\) is
- A \(2 \sqrt{7}\)
- B \(7 \sqrt{2}\)
- C \(\sqrt{7}\)
- D \(3 \sqrt{7}\)
Answer & Solution
Correct Answer
(A) \(2 \sqrt{7}\)
Step-by-step Solution
Detailed explanation
Given that, \(x=3 \cos \theta\) \(\Rightarrow \quad \frac{x}{3}=\cos \theta\) and \(y=4 \sin \theta\) \(\Rightarrow \quad \frac{y}{4}=\sin \theta\) On squaring and adding eqs. (i) and (ii) we get…
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