AP EAMCET · Maths · Hyperbola
The line \(21 x+5 y=k\) touches the hyperbola \(7 x^2-5 y^2=\) 232 then \(k=\)
- A \(116\)
- B \(232\)
- C \(58\)
- D \(110\)
Answer & Solution
Correct Answer
(A) \(116\)
Step-by-step Solution
Detailed explanation
The line \(\mathrm{A} x+\mathrm{B} y+\mathrm{C}=0\) touches the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) if \(\mathrm{C}^2=a^2 \mathrm{~A}^2-b^2 \mathrm{~B}^2\) ...(i) Now, given line is \(21 x+5 y=k\) and hyperbola…
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