COMEDK2023MathematicsCircle

The circle x^2+y^2+3 x-y+2=0 cuts an intercept on X -axis of length

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Correct answer

D. 1

Step-by-step solution

Given equation of circle is x^2+y^2+3 x-y+2=0 . On comparing this equation with x^2+y^2+2 g x+2 f y+c=0 , we get g= 3 2 , f=- 1 2 and c=2 Now, the length of intercept on X -axis =2 g^2-c =2 ( 3 2 )^2-2 =2 9 4 -2 =2 1 4 =2 ( 1 2 )=1

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