MHT CET · Maths · Ellipse
The eccentricity of the curve represented by \(x=3(\cos \mathrm{t}+\sin \mathrm{t})\), \(y=4(\cos t-\sin t)\) is
- A \(\frac{\sqrt{7}}{4}\)
- B \(\frac{7}{16}\)
- C \(\frac{\sqrt{7}}{3}\)
- D \(\frac{\sqrt{8}}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{7}}{4}\)
Step-by-step Solution
Detailed explanation
\(\frac{x^2}{9} = (1+\sin 2t)\) \(\frac{y^2}{16} = (1-\sin 2t)\)
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