AP EAMCET · Maths · Hyperbola
The area (in sq units) of the equilateral triangle formed by the tangent at \((\sqrt{3}, 0)\) to the hyperbola \(x^2-3 y^2=3\) with the pair of asymptotes of the hyperbola is
- A \(\sqrt{2}\)
- B \(\sqrt{3}\)
- C \(\frac{1}{\sqrt{3}}\)
- D \(2 \sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Given equation of hyperbola is \(x^2-3 y^2=3\) \(\therefore\) Equation of tangent at point \((\sqrt{3}, 0)\) is \(\begin{aligned} & S_1=0 \\ \Rightarrow \quad & x \sqrt{3}-3 y \times 0=3\end{aligned}\)…
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