Please explain your answers \\ show your work (x - c)2 + y2 = c2, with c arbitra

Question

Please explain your answers show your work

(x - c)2 + y2 = c2, with c arbitrary, is a 1-parameter family of curves which can be correctly described as circles, all centered at the point (c, 0) on the x-axis and all of radius 1. circles, all centered at the point (0, c) on the y-axis and all of radius 1. circles, all centered at the point (-c, 0) on the x-axis and all of radius 1. circles, all centered at the point (0, -c) on the y-axis and all of radius 1. circles, all centered at the origin, and all of radius c. circles, all centered at the point (c, 0) on the x-axis and all passing through the origin. circles, all centered at the point (0, c) on the y-axis and all passing through the origin. circles, all centered on the line y = x and all tangent to the x-axis at (c, 0) and tangent to the y-axis at (0, c). circles, all centered on the line y = x and all tangent to the x-axis at (-c, 0) and tangent to the y-axis at (0, -c) . none of these

Explanation / Answer

The euation implies the distance of all the groups from (c,o) are c therfore answer is F

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