COMEDK · Maths · 12. Circle
If the circle \(x^{2}+y^{2}=9\) and \(x^{2}+y^{2}+20 x+2 y+1=0\) touch each other internally, then \(\alpha=\)
- A \(\pm \frac{4}{3}\)
- B 1
- C \(\frac{4}{3}\)
- D \(\frac{-4}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
Let \(\quad S_{1}: x^{2}+y^{2}=9\) and \(\quad S_{2}: x^{2}+y^{2}+2 \alpha x+2 y+1=0\) Now, centre and radius of \(S_{1}\) are Centre \(=C_{1}(0,0)\) Radius \(=3\) Centre and radius of \(S_{2}\) are…
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