D(3/4,root 7/4) lies on the circumference of the unit circle , Option D is the correct answer.
What is a Unit Circle ?
A unit circle is a circle with 1 unit radius and the center is at origin .
The equation of a unit circle is x ² + y² =1
The points given are
A(4,3) B(1/2,1/5) C(0.6,0.7) D(3/4,root 7/4).
To check if they lie on the circumference of a unit circle , They have to be substituted in the equation of unit circle.
Point A
4 ² + 3² =1
16+ 9 ≠ 1
Point B
(1/2) ² + (1/5)² =1
(1/4) + (1/25) = 1
29/100 ≠ 1
Point C
(0.6) ² + (0.7)² =1
0.85 ≠ 1
Point D
(3/4)² + (√7/4)² =1
(9/16) + (7/16) = 1
1 = 1
Therefore , Option D, D(3/4,root 7/4) lies on the circumference of the unit circle.
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