TS EAMCET · Maths · Ellipse
The coordinates of any point, in the parametric form, on the ellipse whose foci are \((-2,0),(8,0)\) and eccentricity \(\frac{1}{\sqrt{2}}\), is
- A \((5 \sqrt{2} \cos \theta, 5 \sin \theta)\)
- B \((3+5 \sqrt{2} \cos \theta, 5 \sin \theta)\)
- C \((3+5 \cos \theta, 5 \sqrt{2} \sin \theta)\)
- D \((5 \cos \theta, 3+5 \sqrt{2} \sin \theta)\)
Answer & Solution
Correct Answer
(B) \((3+5 \sqrt{2} \cos \theta, 5 \sin \theta)\)
Step-by-step Solution
Detailed explanation
The foci are \((-2,0)\) and \((8,0)\). The distance between the foci is \(2 a e=10\)…
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