The equation to the circle which touches the axis of `y` at the origin and passes through (3, 4) is `2(x^2+y^2)-3x=0` `3(x^2+y^2)-25 x=0` `4(x^2+y^2)-25y=0` `4(x^2+y^2)-25 x+10=0`

The equation of the circle of radius 5 in the first quadrant which touches the x-axis and the line 3x-4y=0 is x^2+y^2-24 x-y-25=0 x^2+y^2-30 x-10 y+225=0 x^2+y^2-16 x-18 y-64=0 x^2+y^2-20 x-12 y+144=0

The equation of the circle which touches the circle x^2+y^2-6x+6y+17 = 0 externally and to which the lines x^2-3 xy-3x + 9y = 0 are normals, is

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^2+y^2-2x-4y+1=0a n dx^2+y^2-4x-2y+4=0 is x^2+y^2-6x+7=0 x^2+y^2-3y+4=0 c. x^2+y^2-2x-2y+1=0 x^2+y^2+2x-4y+4=0

The equation of the circle passing through the point (1,1) and having two diameters along the pair of lines x^2-y^2-2x+4y-3=0 is a. x^2+y^2-2x-4y+4=0 b. x^2+y^2+2x+4y-4=0 c. x^2+y^2-2x+4y+4=0 d. none of these

The equation of the diameter of the circle x^(2) + y^(2) - 6x + 2y = 0 which passes through origin is

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+2x+17y+4=0 x^2+y^2+7x+6y+11=0 x^2+y^2-x+22y+3=0

The equation of the circle which has normals x-1).(y-2)=0 and a tangent 3x+4y=6 is x^2+y^2-2x-4y+4=0 x^2+y^2-2x-4y+5=0 x^2+y^2=5 (x-3)^2+(y-4)^2=5

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^2+y^2-2x-4y+1=0a n dx^2+y^2-4x-2y+4=0 is

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

The equation of the circle whose diameter is the common chord of the circles; x^2+y^2+3x+2y+1=0 and x^2+y^2+3x+4y+2=0 is: x^2+y^2+8x+10 y+2=0 x^2+y^2-5x+4y+7=0 2x^2+2y^2+6x+2y+1=0 None of these