TS EAMCET · Maths · Hyperbola
The product of the lengths of perpendiculars drawn from any point on the hyperbola \(x^2-2 y^2-2=0\) to its asymptotes is :
- A \(\frac{1}{2}\)
- B \(\frac{2}{3}\)
- C \(\frac{3}{2}\)
- D 2
Answer & Solution
Correct Answer
(B) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
Equation of hyperbola is \(x^2-2 y^2=2\) \(\Rightarrow \quad \frac{x^2}{2}-\frac{y^2}{1}=1\) Here, \(a^2=2, b^2=1\) Equation of asymptotes to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \text { is } \frac{x^2}{a^2}-\frac{y^2}{b^2}=0\)…
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