AP EAMCET · Maths · Hyperbola
Let \(x+y+1=0\) and \(x-y+4=0\) be the asymptotes of a hyperbola \(H\). If \((1,1)\) is a point on \(H\), then the length of the latus rectum of \(\mathrm{H}\) is
- A \(4 \sqrt{3}\)
- B \(\sqrt{3}\)
- C \(4 \sqrt{2}\)
- D \(\sqrt{5}\)
Answer & Solution
Correct Answer
(A) \(4 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
We know that, the a symptotes of hyperbola \(\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\) is \((y-k)= \pm \frac{b}{a}(x-h)\)... (i) and latus rectum is \(\frac{2 b^2}{a}\) Rewrite the given a symptotes are…
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