Answer:
A and D
Step-by-step explanation:
Unit circle is a circle described by the equation
x^2 + y^2 = 1
We can try each pair and check
A. [tex](\frac{6}{7})^2 + (\frac{\sqrt{13}}{7})^2 = \frac{36}{49} + \frac{13}{49} = \frac{49}{49} = 1[/tex]
B. [tex](\frac{4}{3})^2 + (\frac{4}{5})^2 > (\frac{4}{3})^2 > 1[/tex]
C. [tex](\frac{1}{3})^2 + (\frac{2}{3})^2 = \frac{1}{9} + \frac{4}{9} = \frac{5}{9} < 1[/tex]
D. [tex](\frac{5}{13})^2 + (\frac{12}{13})^2 = \frac{25}{169} + \frac{144}{169} = \frac{169}{169} = 1[/tex]
