alleryThe HYPERBOLA x²/a² − y²/b² = 1 has asymptotes given by:
A$y = \pm (a/b) x$ (incorrect ratio)
B$y = \pm (b/a) x$ (correct asymptotes)
C$y = \pm a + b$ (constant)
D$y = \pm \sqrt{ab} x$ (geometric mean)
Answer & Solution
Correct answer: B. $y = \pm (b/a) x$ (correct asymptotes)
Asymptotes of x²/a² − y²/b² = 1: y = ±(b/a)x.
The hyperbola approaches these lines as |x| → ∞.
Pass through origin; the asymptote slopes determine the 'spread' of the hyperbola.
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