" 53.The equation of the circle which touches the line "3x-4y+1=0" and "4x+3y-7=0" and passes through "(2,3)" is "

The equation of the circle which touches the lines x=0, y=0 and 4x + 3y =12 is

Find the equation of the circle which touches the line x = 0, x = a and 3x + 4y + 5a = 0.

Find the equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.

The equation of hyperbola whose asymtotes are the straight lines 3x-4y+7=0" and "4x+3y+1=0 and which passes through the origin is

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0. The centre and radius of the circle are

Find the equation of the circle which cuts orthogonally the circle x^2 + y^2 – 6x + 4y -3 = 0 ,passes through (3,0) and touches the axis of y.