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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

A & A¢ (±2, 0); S & S¢ (±1, 0) centre C (0, 0)

Q CS = ae = 1 Ž e = ½

\ b2 = a2 (1 – e2) = 3

Ž b = 3\sqrt{3} Hence, minor axis = 2b = 23\sqrt{3}