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Consider the circles x2 + y2 + 2ax + c = 0 and x2 + y2 + 2by + c = 0.
What is the distance between the centres of the two circles?
  • a)
  • b)
    a2 + b2
  • c)
    a + b
  • d)
    2 ( a+b)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the circles x2 + y2 + 2ax + c = 0 and x2 + y2 + 2by + c = 0.W...
Equations of circles are
x2 + y 2 + 2 a x + c = 0
and x2 + y2 + 2by + c = 0
Since, the centres of two circles are (-a, 0) and (0, -b) 
∴ Distance between two centres = 
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Consider the circles x2 + y2 + 2ax + c = 0 and x2 + y2 + 2by + c = 0.What is the distance between the centres of the two circles?a)b)a2 + b2c)a + bd)2 ( a+b)Correct answer is option 'A'. Can you explain this answer?
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