Which of the following could be points on the unit circle? a. (1/3,2/3 b. (4/3,4/5) c. (6/7,sq rt 13/7) d. (5/13,12/13)

and are the only two points that  lies on unit circle.

Step-by-step explanation:

The general equation for the circle is where (h,k) is the point of center.

So, For a circle with center at (0,0) and radius 1 unit. equation becomes,

 .........(1)

Now, from the given points are on unit circle or not , we just have to put the values for x and y and check whether they satisfy the equation of circle.

1)

Substitute for x and y in Left side of (1), we get,

Thus, point do not lies on unit circle.

2)

Substitute for x and y in Left side of (1), we get,

Thus,   point do not lies on unit circle.

3)

Substitute for x and y in Left side of (1), we get,

Thus, point lies on unit circle.

4)

Substitute for x and y in Left side of (1), we get,

Thus, point lies on unit circle.

Thus, only two points lies on unit circle.

and are the only two points that  lies on unit circle.

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