MHT CET · Maths · Circle
The number of common tangents that can be drawn to the circles \(x^2+y^2-6 x=0\) and \(x^2+y^2+6 x+2 y+1=0\) is .....
- A \(0\)
- B \(3\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
For \(C_1: x^2+y^2-6x=0\), \(C_1=(3,0)\) and \(r_1=\sqrt{3^2+0-0}=3\). For \(C_2: x^2+y^2+6x+2y+1=0\), \(C_2=(-3,-1)\) and \(r_2=\sqrt{(-3)^2+(-1)^2-1}=\sqrt{9}=3\).
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