If \(\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1\left( {a > b} \right)\) and x2 - y2 = c2 cut at right angles, then 

1
a2 + b2 = 2c2
2
b2 - a2 = 2c2
3
a2 - b2 = 2c2
4
a2b2 = 2c2

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