TS EAMCET · Maths · Hyperbola
The product of lengths of the perpendiculars from any point of the hyperbola \(x^2-y^2=8\) to its asymptotes is
- A 2
- B 3
- C 4
- D 8
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
Let \((h, k)\) be any points of hyperbola \[ \begin{aligned} & x^2-y^2 & =8 \\ \therefore & h^2-k^2 & =8 \end{aligned} \] Asymptotes of hyperbola \(x^2-y^2=8\) is \[ x+y=0 \text { and } x-y=0 \] Distance from \((h, k)\) to the asymptote \(x+y=0\) is…
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