AP EAMCET · Maths · Circle
The length of the chord of contact of the point \((2,1)\) with respect to the circle \(x^2+y^2+4 x+2 y+1=0\) is
- A \(\frac{8}{\sqrt{5}}\)
- B \(\frac{4}{\sqrt{5}}\)
- C \(\frac{4 \sqrt{6}}{\sqrt{5}}\)
- D \(\frac{2 \sqrt{6}}{\sqrt{5}}\)
Answer & Solution
Correct Answer
(A) \(\frac{8}{\sqrt{5}}\)
Step-by-step Solution
Detailed explanation
The given equation of circle is: \(\begin{aligned} & x^2+y^2+4 x+2 y+1=0 \\ & C \equiv(-2,-1), r=\sqrt{4+1-1}=2\end{aligned}\) The equation of chord of contact of point \((2,1)\) is:…
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