AP EAMCET · Maths · Hyperbola
The distance between the tangent lines to the hyperbola \(x^2-2 y^2=18\) which are perpendicular to the line \(y=x\) is
- A 6
- B \(2 \sqrt{3}\)
- C \(3 \sqrt{2}\)
- D 0
Answer & Solution
Correct Answer
(B) \(2 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
The line perpendicular to line \(y=x\) is \[ y=-x+c \text { or } x+y-c=0 \] Given, hyperbola is \(x^2-2 y^2=18\) or \(\quad \frac{x^2}{18}-\frac{y^2}{9}=1\) Here, \(a^2=18, b^2=9\) Condition for tangency of hyperbola is…
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