TS EAMCET · Maths · Ellipse
The ellipse having its foci \((0, \pm 1)\) and major axis of length \(\sqrt{5}\) is
- A \(20 x^2+4 y^2=5\)
- B \(36 x^2+20 y^2=45\)
- C \(4 x^2+20 y^2=5\)
- D \(20 x^2+36 y^2=45\)
Answer & Solution
Correct Answer
(A) \(20 x^2+4 y^2=5\)
Step-by-step Solution
Detailed explanation
Since the foci of given ellipse lie on the \(Y\)-axis, it is vertical ellipse. Let the required equation be \(\frac{x^2}{b^2}+\frac{y^2}{a^2}=1\) Where \(a^2>b^2\) Foci are \((0, \pm c)=(0, \pm 1) \Rightarrow c=1\) \(a=\) length of the semi-major axis…
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