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Math & Puzzles Challenge
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x² /a² - y²/b² = 1 is the equation of a hyperbola. When |x| is very high the graph for the above equation resembles –
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A
straight line
💡 Explanation:
For the hyperbola x²/a² - y²/b² = 1, as |x| approaches infinity, the curve approaches its asymptotes y = ±(b/a)x, which are straight lines passing through the origin. This asymptotic behavior is fundamental to hyperbola geometry.