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Obtain the equation of the circle orthog...

Obtain the equation of the circle orthogonal to both the circles `x^2+y^2+3x-5y+6=0` and `4x^@+4y^2-28x+29=0` and whose centre lies on the line `3x+4y+1=0`

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The equation of the circle, which cuts orthogonally : x^2+y^2+3x-5y+6=0 and 4x^2+4y^2 -28x+29=0 and whose centre lies on 3x+4y+1=0 is :

Find the equations of the circles which cut orthogonally the circles x^2+y^2-6y+1=0, x^2+y^2-4y+1=0 and touch the line 3x+4y+5=0

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