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Question: If (4, 0) and (–4, 0) be the vertices and (6, 0) and (–6, 0) be the foci of a hyperbola, then its ec...

If (4, 0) and (–4, 0) be the vertices and (6, 0) and (–6, 0) be the foci of a hyperbola, then its eccentricity is-

A

5/2

B

2

C

3/2

D

2\sqrt{2}

Answer

3/2

Explanation

Solution

A & A¢ (±4, 0); S & S¢ (±6, 0); Q CA = a = 4

\ CS = ae = 6 Ž e = 6a\frac{6}{a}= 64\frac{6}{4}= 32\frac{3}{2}