Question

Given circle K with a radius of 5 cm, describe the locus of points in a plane that are 5 cm from the circle.
Would the answer be Circle K with radius of 10 cm and point K

Answer 1

Options are:
Circle K with radius of 10 cm
Point K
Circle K with radius of 10 cm and point K
None of these

Answer 2

what is point K? is it the center of the circle with 5 cm radius? if so, then yes, your answer is correct.

Answer 3

im not use. thats all the instructions said. :(

Answer 4

well the two circles with center at K will be concentric and hence the bigger circle would represent the locus of points 5 cm from the circle. But locus is generally defined from a single point, not a circle or any other curve.

Answer 5

i think it shud be circle K with radius of 10 cm
because it says "given circle K" so K is the name of the circle and if radius increases then it becomes circle K with radius 10 cm

Answer 6

okay. do you agree dhatraditya?

Answer 7

yeah, although not every point on circle K is at a distance of 5 cm from every point on the bigger circle. If you want the actual locus points that are equidistant from every point on circle K, then the locus would be just the center of the circle.

Answer 8

so which do i choose?

Answer 9

the question is rather poorly asked and not well defined at all, so I would choose circle K with radius 10.

Answer 10

Thank You!

Answer 11

no problem