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Binomial Theorem
Question
Find the equation of a circle which pass through the points O (0, 0), A (4, 0) and B (0, 3).
Solution
Let the equation of the circle be 
...(i)
Since it passes through (0, 0)
∴ 
...(ii)
Since it passes through (4, 0)
∴ 
...(iii)
But, from (ii), 
∴ From (iii), we have 
Since it passes through (0, 3)
∴ 
∴ From (ii), we have
or 
Hence, the equation of circle is: 
or 
or 
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