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JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1
If the circles x2+y2+2gx+2fy=0{x^2} + {y^2} + 2gx + 2fy = 0 and x2+y2+2g′ x+2f′ y=0{x^2} + {y^2} + 2g'\,x + 2f'\,y = 0 touch each other, then
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Correct option: D
fg′=f′gf\mathrm{g'} = f'\mathrm{g}
Option D (fg′=f′gf\mathrm{g'} = f'\mathrm{g}) is correct because the circles touch each other if they have the same tangent at the origin.

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