TS EAMCET · Maths · Hyperbola
The angle between the asymptotes of the hyperbola \(x^2-3 y^2=3\) is
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{3}\)
Step-by-step Solution
Detailed explanation
Given equation of hyperbola is \(\begin{aligned} x^2-3 y^2 & =3 \\ \Rightarrow \quad \frac{x^2}{3}-\frac{y^2}{1} & =1 \end{aligned}\) Here, \(a^2=3\) and \(b^2=1, a>b\). Now, the equation of asymptote of this hyperbola is,…
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