JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
Let \(C_1\) be the circle in the third quadrant of radius 3 , that touches both coordinate axes. Let \(\mathrm{C}_2\) be the circle with centre \((1,3)\) that touches \(\mathrm{C}_1\) externally at the point \((\alpha, \beta)\). If \((\beta-\alpha)^2=\frac{m}{n}, \operatorname{gcd}(m, n)=1\), then \(m+n\) is equal to :
- A 9
- B 13
- C 22
- D 31
Answer & Solution
Correct Answer
(C) 22
Step-by-step Solution
Detailed explanation
\(C_1:(x+3)^2+(y+3)^2=3^2\) Let \(\mathrm{C}_1\) and \(\mathrm{C}_2\) has centres \(A\left(-3_1-3\right)\) and \(B(1,3)\)…
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