TS EAMCET · Maths · Circle
If a circle of radius \(r\) touches the positive coordinate axes and also the circle \(x^2+y^2-12 x-10 y+52=0\) externally, then the distance between the centres of the two circles is
- A 7
- B 5
- C 6
- D 8
Answer & Solution
Correct Answer
(B) 5
Step-by-step Solution
Detailed explanation
Let equation of circle touches the positive coordinate axes having radius \(r\) is \((x-r)^2+(y-r)^2=r^2\) \(\because\) The circle (i) touches the another given circle \(x^2+y^2-12 x-10 y+52=0\) externally then \(c_1 c_2=r_1+r_2\) Where \(c_1(r, r), c_2(6,5), r_1=r\) and…
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