Circle And System Of Circles Question 324
Question: If $ c^{2}>a^{2}(1+m^{2}), $ then the line $ y=mx+c $ will intersect the circle $ x^{2}+y^{2}=a^{2} $
Options:
A) At one point
B) At two distinct points
C) At no point
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
If $ c^{2}< $ or = or $ >a^{2}(1+m^{2}) $ , then line $ y=mx+c $ intersects the circle $ x^{2}+y^{2}=a^{2} $ in two points, a point or no point. Here intersect at no point.