JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
An ellipse, with foci at \((0, 2)\) and \((0, -2)\) and minor axis of length \(4\), passes through which of the following points?
- A \((2, \sqrt 2 )\)
- B \((2, 2\sqrt 2 )\)
- C \((1, 2\sqrt 2 )\)
- D \(( \sqrt 2, 2 )\)
Answer & Solution
Correct Answer
(D) \(( \sqrt 2, 2 )\)
Step-by-step Solution
Detailed explanation
Given \(2a = 4\) and \(2be = 4\) \( \Rightarrow a = 2,be = 2\) \( \Rightarrow {b^2}{e^2} = 4\) \( \Rightarrow {b^2} - {a^2} = 4\) \( \Rightarrow {b^2} = 8\) \( \Rightarrow \) equation of ellipse \(\frac{{{x^2}}}{4} + \frac{{{y^2}}}{8} = 1\) Clearly option \((D)\) satisfy the…
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