AP EAMCET · Maths · Hyperbola
If the point \((1,1)\) and the origin lie in the same region with respect to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{1}=1(a>0)\), then the range of a is
- A \(\left(\frac{1}{\sqrt{2}}, \infty\right)\)
- B \(\left(0, \frac{1}{\sqrt{2}}\right)\)
- C \((0,1)\)
- D \((0, \sqrt{2})\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{1}{\sqrt{2}}, \infty\right)\)
Step-by-step Solution
Detailed explanation
Since centre of given hyperbola is \((0,0)\) Given that origin and \((1,1)\) lie in same region therefore \((1,1)\) lie inside the hyperbola.…
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