Condition for two circles to touch: find the parameter
This type of question, asked 3 times: 10 May 2024 S1, 12 May 2024 S2, 17 Apr 2026 S2. All 3 questions below, oldest first.
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Question 1
10 May 2024 S1
146Circles x2+y2=9 and x2+y2+2αx+2y+1=0 touch internally. Value of α3 is
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Question 2
12 May 2024 S2
148The circles x2+y2+2ax+c=0 and x2+y2+2by+c=0 touch each other externally, if
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Question 3
17 Apr 2026 S2
56If the circles x2+y2=16 and x2+y2+2ax+4y+4=0 touch each other internally then a=
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