Answer:
The length of CI is 10 units.
Step-by-step explanation:
It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.
The diagonals of a parallelogram bisect each other.


![[\because AI=CI]](https://tex.z-dn.net/?f=%5B%5Cbecause%20AI%3DCI%5D)



The value of x is 12.

Therefore the length of CI is 10 units.
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer: a. Radius of circle = 
b. The equation of this circle :
Step-by-step explanation:
Given : Center of the circle = (3,10)
Circle is passing through (12,12).
a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)
Radius of circle = 
Radius of circle = 
i.e. Radius of circle = 
b. Equation of a circle =
, where (h,k)=Center and r=radius of the circle.
Put the values of (h,k)= (3,10) and r=
, we get
∴ The equation of this circle :
It would be 7:9 because if you divide each side by 4 then you can get it in simplest form
C
5 is 1/3 of 15 and 1 is 1/3 of 3 so C would be correct