AP EAMCET · Maths · Ellipse
If the latus rectum of an ellipse is equal to half of minor axis, then its eccentricity is
- A \(\frac{\sqrt{3}}{4}\)
- B \(\frac{3}{4}\)
- C \(\frac{1}{4}\)
- D \(\frac{\sqrt{3}}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{\sqrt{3}}{2}\)
Step-by-step Solution
Detailed explanation
Let the equation of ellipse be \[ \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \] \(\therefore\) Length of Latus rectum \(=\frac{2 \mathrm{~b}^2}{\mathrm{a}}\) and length of minor axis \(=2 b\)…
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