AP EAMCET · Maths · Ellipse
The equation of an ellipse in its standard form, given the distance between its foci is 2 units and the length of its latusrectum is \(\frac{15}{2}\) units, is
- A \(15 x^2+4 y^2=15\)
- B \(4 x^2+15 y^2=60\)
- C \(15 x^2+16 y^2=240\)
- D \(16 x^2+15 y^2=40\)
Answer & Solution
Correct Answer
(C) \(15 x^2+16 y^2=240\)
Step-by-step Solution
Detailed explanation
Standard form of ellipse, \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) a > b \(\because\) Distance between foci \(=2 a e\) 2 = 2ae \(\Rightarrow \quad a e=1\)...(ii)…
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