JEE Mains · Maths · STD 11 - 10.1 circle and system of circle
Choose the incorrect statement about the two circles whose equations are given below \(x^{2}+y^{2}-10 x-10 y+41=0\) and \(x^{2}+y^{2}-16 x-10 y+80=0\)
- A Distance between two centres is the average of radii of both the circles.
- B Both circles' centres lie inside region of one another.
- C Both circles pass through the centre of each other.
- D Circles have two intersection points.
Answer & Solution
Correct Answer
(B) Both circles' centres lie inside region of one another.
Step-by-step Solution
Detailed explanation
\(r _{1}=3, c _{1}(5,5)\) \(r _{2}=3, c _{2}(8,5)\) \(C _{1} C _{2}=3, r _{1}=3, r _{2}=3\)
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