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Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting , we get
Therefore, the standard form of the given circle is .
Solve the system using substitutions:
x has a value of 1. Use this value to find the value of y.
y has a value of 1.
x=1
y=1
Answer:
and
.
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Now, we will substitute in equation (1).
Therefore, the point is solution for our given equation.