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The hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

The hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1` passes through the point of intersection of the lines 7x + 13y - 87 = 0 and 5x - 8y + 7 = 0 and its latus rectum is `(32sqrt(2))/(5)` Find a and b.

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The correct Answer is:
`a = (5)/(sqrt(2)), b = 4`
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