JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
The number of integral values of \(k\) for which the line, \(3 x+4 y=k\) intersects the circle, \(\mathrm{x}^{2}+\mathrm{y}^{2}-2 \mathrm{x}-4 \mathrm{y}+4=0\) at two distinct points is
- A \(9\)
- B \(10\)
- C \(8\)
- D \(11\)
Answer & Solution
Correct Answer
(A) \(9\)
Step-by-step Solution
Detailed explanation
Circle \(x^{2}+y^{2}-2 x-4 y+4=0\) \(\Rightarrow(x-1)^{2}+(y-2)^{2}=1\) Centre : (1,2) radius \(=1\) line \(3 x+4 y-k=0\) intersects the circle at two distinct points. \(\Rightarrow\) distance of centre from the line \(<\) radius…
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