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<u>Solution-</u>
In order to get A'B'C' from ABC we have to do two steps,
they are
1- First we need to rotate the triangle around its own vertex C (-1 , 3)
2- Then moving the triangle 4 units downwards we will get the desired triangle.
After doing the first step the new co-ordinates of A,B,C will be,
(-2 , 4),(2 , 1) and (-1 , 3)
Then moving the triangle 4 units downward (i.e subtracting from y co-ordinate as we are moving in -ve y direction), the co-ordinates will be,
A' = (-2 , -3)
B' = (2 , -3)
C' = (-1 , -1)
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Therefore, the equation of circle is:
- All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
- The radius of a circle is the separation between any point on the circle and its center.
- The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
- A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.
Here we know thatbut we are not given the radius.
However, we can find the radius by using the distance formula.
, where
and
Putting the values, we get:
The radius comes out to be:
An equation of the circle with center and radius r is
Now, substituting the values, we get:
Therefore, the equation of circle is:
Know more about circles with the help of the given link:
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