Fill in the blanks:
The equation of the circle having centre at (3,-4) and touching the line `5x + 12y - 12 = 0` is ……….

Fill in the blanks: 12 -(-12) =___

The equation of the circle passing through (4,5) having centre at (2, 2) is

Fill in the blanks: (-4)+ _____ = -12

Find the equation of the circle passing through the point (0, 0) and the points, where the st. line 3x + 4y = 12 meets the axes of co-ordinates.

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3.

Fill in the blanks The area of the region bounded by the curve x= y^2 , y-axis and the lines y = 3, y = 4 is…….. .

The radius of the larger circle lying in the first quadrant and touching the line 4x+3y-12=0 and the coordinate axes, is

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

Fill in the blanks: The equation of normal to the curve y = tan x at (0,0) is ____________________.