JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
The line \(x = y\) touches a circle at the point \((1, 1)\). If the circle also passes through the point \((1, -3)\), then its radius is
- A \(3\sqrt 2\)
- B \(3\)
- C \(2\)
- D \(2\sqrt 2\)
Answer & Solution
Correct Answer
(D) \(2\sqrt 2\)
Step-by-step Solution
Detailed explanation
Equation of circle is given as \(S + \lambda L = 0\) \({\left( {x - 1} \right)^2} + {\left( {y - 1} \right)^2} + \lambda \left( {x - y} \right) = 0\) through \(\left( {1, - 3} \right)\) \(16 + \lambda \times 4 = 0 \Rightarrow \lambda = - 4\)…
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