Question

A circle of radius 6 units touches the co-ordinate axes in the first quadrant . Find the equation of its image in the line mirror y = 0 .​

Answer 1

Answer:

Here (5,5) is the center of circle which is touching both the coordinate axes in first quadrant and 5 is the radius of circle, then (x−5)

2

+(y−5)

2

=5

2

. is the equation of the circle

Now it makes one complete roll along positive X axis,hence its x coordinate of center will change its position to 5+10π while y coordinate will remain the same.

∴ The final equation will be,(x−(5+10π))

2

+(y−5)

2

=5

2

.