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Question

Question: The angle between the asymptotes of hyperbola \(\frac{x^{2}}{9} - \frac{y^{2}}{3} = 1\) is equal to:...

The angle between the asymptotes of hyperbola x29y23=1\frac{x^{2}}{9} - \frac{y^{2}}{3} = 1 is equal to:

A

π/4

B

π/2

C

π/3

D

None of these

Answer

π/3

Explanation

Solution

Asymptotes y = ± ba\frac{b}{a}x ⇒ y = ±33\frac{\sqrt{3}}{3}x ⇒ y = ±13\frac{1}{\sqrt{3}}x

Angle between these two lines is 600.