JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
If a circle \(C\) passing through the point \((4, 0)\) touches the circle \(x^2 + y^2 + 4x -6y = 12\) externally at the point \((1, -1)\), then the radius of \(C\) is
- A \(2\sqrt 5 \)
- B \(4\)
- C \(5\)
- D \(\sqrt {57} \)
Answer & Solution
Correct Answer
(C) \(5\)
Step-by-step Solution
Detailed explanation
Tangent at \(\left( {1, - 1} \right)\) is \(x\left( 1 \right) + y\left( { - 1} \right) + 2\left( {x + 1} \right) - 3\left( {y - 1} \right) - 12 = 0\) \( = 3x - 4y = 7\) required circle is…
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