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Question: Answered & Verified by Expert
Circles $x^2+y^2-2 x-4 y=0$ and $x^2+y^2-8 y-4=0$
MathematicsCircleJEE Main
Options:
  • A Touch each other internally
  • B Touch each other externally
  • C Cuts each other at two points
  • D None of these
Solution:
1220 Upvotes Verified Answer
The correct answer is: Touch each other internally
$C_1(1,2), C_2(0,4), R_1=\sqrt{5}, R_2=2 \sqrt{5}$
$C_1 C_2=\sqrt{5}$ and $C_1 C_2=\left|R_2-R_1\right|$
Hence circles touch internally.

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