AP EAMCET · Maths · Circle
The length of the chord intercepted by the circle \(x^2+y^2-8 x-2 y-8=0\) on the line \(x+y+1=0\) is units.
- A 14
- B 7
- C \(2 \sqrt{7}\)
- D \(\sqrt{7}\)
Answer & Solution
Correct Answer
(C) \(2 \sqrt{7}\)
Step-by-step Solution
Detailed explanation
Equation of circle \[ \begin{array}{ll} & x^2+y^2-8 x-2 y-8=0 \\ \Rightarrow \quad & g=-4, f=-1, c=-8 \end{array} \] Centre \((4,1)\) and radius, \(r=\sqrt{16+1+8}=5\) Distance from centre \((4,1)\) to the line…
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