Question
Question: If variable line y = mx always intersect circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 a...
If variable line y = mx always intersect circle
x2 + y2 + 2gx + 2fy + c = 0 at two distinct points then
A
c = 0
B
c < 0
C
c > 0
D
c Î R
Answer
c < 0
Explanation
Solution
Line y = mx always passes through O(0, 0)
̃ (0, 0) is internal point of circle