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JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let the equations of two ellipses be \({E_1}:\,\frac{{{x^2}}}{3} + \frac{{{y^2}}}{2} = 1\) and \({E_2}:\,\frac{{{x^2}}}{16} + \frac{{{y^2}}}{b^2} = 1,\) If the product of their eccentricities is \(\frac {1}{2},\) then the length of the minor axis of ellipse \(E_2\) is
- A \(8\)
- B \(9\)
- C \(4\)
- D \(2\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
Given equationd of ellipses \({E_1}:\frac{{{x^2}}}{3} + \frac{{{y^2}}}{2} = 1\) \( \Rightarrow {e_1} = \sqrt {1 - \frac{2}{3}} = \frac{1}{{\sqrt 3 }}\) and \({E_2}:\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{{b^2}}} = 1\)…
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