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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let $ (h, k) $ lie on the circle $ C: x^2 + y^2 = 4 $ and the point $ (2h + 1, 3k + 2) $ lie on an ellipse with eccentricity $ e $. Then the value of $ \frac{5}{e^2} $ is equal to
Solution
Let $ P = (2\cos\theta, 2\sin\theta) $ $ \therefore $ coordinates of $ Q = (4\cos\theta + 1,; 6\sin\theta + 3) $ $ \therefore $ locus of $ Q $ is $ \left( \frac{x - 1}{4} \right)^2 + \left( \frac{y - 3}{6} \right)^2 = 1 $ $ e^2 = 1 - \frac{16}{36} = \frac{5}{9} $ $ \Rightarrow \frac{5}{e^2} = 9 $Online Test Series, Information About Examination,
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