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Question

The lengths of the axes of the hypberbola 9x216y2+72x32y16 = 0 are


A

16,9

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B

8,6

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C

4,3

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D

18,8

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Solution

The correct option is B

8,6


9x216y2+72x32y16 = 0

9 ( x2 + 8x) - 16(y2 + 2y) = 16

9(x+4)216(y+1)2=14416+16

(x+4)216(y+1)29=1

a = 4 2a = 8

b = 3 2b = 6


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