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FInd the equation of circle drawn on the intercept on diameter between the axes made by the line 3x+4y=12
Hi Rahul,
The anwer is :
3x + 4y = 12 or x/4 + y/3 = 1
Thus x intercept of line 3x + 4y = 12 is a = 4
and y intercept of line 3x + 4y = 12 is b = 3
The Intercept length will be root(32 + 42) = 5
Hence Diameter of circle will be 5 , thus radius will be 5/2
Now , Mid-point of Intercept will be ( 4/2 , 3/2 ) or ( 2 , 1.5 )
Hence center point of circle is ( 2 , 1.5 ) and radius is 2.5
Thus eqn of circle will be ( x - 2 )2 + ( y - 1.5 )2 = (2.5)2
Please feel free to ask as many questions you have.
Puneet
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