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Find the locus of the centre of the circ...

Find the locus of the centre of the circle touching the line `x+2y=0a n d x=2y`

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Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

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Locus of the centre of the circle touching the line 3x + 4y + 1=0 and having radius equal to 5 units is