COMEDK · Maths · 12. Circle
The length of the tangent drawn from any point on the circle \(x^{2}+y^{2}-4 x+6 y-4=0\) to the circle \(x^{2}+y^{2}-4 x+6 y=0\) is
- A 8
- B 4
- C 2
- D None of these
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Length of tangent from \(x^{2}+y^{2}+2 g x+2 f y+c_{1}=0\) To the circle \(x^{2}+y^{2}+2 g x+2 f y+c_{2}=0\) is \(\sqrt{c_{2}-c_{1}}\) Here, \(c_{2}=4\) and \(c_{1}=0\) So, required length \(=\sqrt{4-0}=\sqrt{4}=2\)
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