Can you write the equation for a circle if the given point does not lie on the circle
1 answer:
Answer:
Step-by-step explanation:
The equation for a circle is
This should tell you that in order to write the equation for a circle, you need either the center and a point and then solve for the radius, or you need 2 points ON the circle that will help you find the center (it would be exactly between those 2 points so you could use the midpoint formula to find the center and then you would have the h and the k and can take it from there.)
The definition of a circle is the locus of all points that is equidistant from a point in space. That point in space is the center and all the points equidistance from it are ON the circle, not inside the circle.
Hope that helps.
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Answer:
A.
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.