Question 1184256: Find the values of k for which the line y=kx-10 meets the curve x^2+y^2=10x. Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source):
In her post, @MathLover1 INCORRECTLY interprets the problem,
considering only the case when the straight line touches the circle.
The correct interpretation is to consider a general case of an intersection
("having at least one intersection point").
So, I came to bring a CORRECT SOLUTION.
....eq.1
.....eq.2
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substitute in eq.1
if the line meets the curve, there is at least one solution and it is a case if discriminant >=
so, use discriminant
...in your case , , and ANSWER. k >= .
