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Question: If the foci and vertices of an ellipse be (±1, 0) and (±2, 0), then the minor axis of the ellipse is...

If the foci and vertices of an ellipse be (±1, 0) and (±2, 0), then the minor axis of the ellipse is

A

25\sqrt{5}

B

2

C

4

D

23\sqrt{3}

Answer

23\sqrt{3}

Explanation

Solution

ae = 1, a = 2, e = 12\frac{1}{2}⇒ b = 4(114)=3\sqrt{4\left( 1 - \frac{1}{4} \right)} = \sqrt{3}

Hence minor axis = 23\sqrt{3}.