Answer these series of events
2 answers:
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Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
On further simplification, we get
Now, the equation of the circle is
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
Therefore, the first option is correct, i.e., .
Answer:
Step-by-step explanation:
The two equations given represent two straight lines in 2-D graph.
The two lines will not intersect if they are parallel.
Hence the two equations will not have solution if the lines are parallel and not coincident.
The condition for 2 lines given by the equations :
ax+by+c=0
dx+ey+f=0 to be parallel but not coincident is:
here a=2 b=-3k c=-1 d=4 e=k+2 f=-5
But also:
Hence the value of k is -2/7.