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[" 33.The equation of the circle,orthogonal to both the "],[" circles "x^(2)+y^(2)+3x-5y+6=0" and "],[4x^(2)+4y^(2)-28x+29=0" and whose centre lies "],[" on the line "3x+4y+1=0" is "],[" (1) "4x^(2)+4y^(2)+2y-29=0],[" (2) "4x^(2)+4y^(2)+6y+5=0],[" (3) "2x^(2)+2y^(2)+6y+7y=0],[" (4) "x^(2)+y^(2)+3x-7y+3=0]

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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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