Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
![Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)](https://tex.z-dn.net/?f=Midpoint%3D%5Cleft%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cdfrac%7By_1%2By_2%7D%7B2%7D%5Cright%29)
Point C = Midpoint of AB
![(-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)](https://tex.z-dn.net/?f=%28-1%2C2%29%3D%5Cleft%28%5Cdfrac%7B2%2Ba%7D%7B2%7D%2C%5Cdfrac%7B6%2Bb%7D%7B2%7D%5Cright%29)
On comparing both sides, we get
![\dfrac{2+a}{2}=-1](https://tex.z-dn.net/?f=%5Cdfrac%7B2%2Ba%7D%7B2%7D%3D-1)
![2+a=-1\times 2](https://tex.z-dn.net/?f=2%2Ba%3D-1%5Ctimes%202)
![a=-2-2](https://tex.z-dn.net/?f=a%3D-2-2)
![a=-4](https://tex.z-dn.net/?f=a%3D-4)
Similarly,
![\dfrac{6+b}{2}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B6%2Bb%7D%7B2%7D%3D2)
![6+b=2\times 2](https://tex.z-dn.net/?f=6%2Bb%3D2%5Ctimes%202)
![b=4-6](https://tex.z-dn.net/?f=b%3D4-6)
![b=-2](https://tex.z-dn.net/?f=b%3D-2)
Therefore, the coordinates of point B are (-4,-2).
Across :
3. conclude
10. quantitative data
11. experiment
12. observe
down :
1. qualitative data
2. tentative
4. hypothesis
5. results
6. inference
7. analyze
8. data
9. variable
Answer:
A. Corresponding angle theorem
Step-by-step explanation: I just took the test on edg
Answer:
T < - 4
Step-by-step explanation:
Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140