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Question 1
Consider the circles x2 + y2 + 8x + m = 0 and x2 + y2 + 6y + m = 0
What is the distance between the centres of the two circles?
Question 2
Consider the circles x2 + y2 + 4x + m = 0 and x2 + y2 + 6y + m = 0
Find the value of ‘m’ for which the two circles touch each other
Question 3
What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x – y – 3 = 0?
Question 4
Find the length of the chord intercepted by the circle 
on the line 
on the line
Question 5
What is the radius of the circle 4x2 + 4y2 – 20x +12y–15 = 0?
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