TS EAMCET · Maths · Hyperbola
If the equation \(x+y+n=0\) represents a normal to the hyperbola \(\frac{x^2}{6}-\frac{y^2}{2}=1\), then \(n=\)
- A \(\pm \sqrt{3}\)
- B \(\pm {4}\)
- C \(\pm \sqrt{2}\)
- D \(\pm {2}\)
Answer & Solution
Correct Answer
(B) \(\pm {4}\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text {} x+y+n=0 \\ & \Rightarrow y=-x-n \\ & m=-1, c=-n \end{aligned} \] If \(y=m x+c\) is normal then…
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