Question
Question: If the straight line \(y = m x\) is outside the circle \(x ^ { 2 } + y ^ { 2 } - 20 y + 90 = 0\) t...
If the straight line y=mx is outside the circle x2+y2−20y+90=0 then
A
m> 3
B
m < 3
C
| m | > 3
D
| m | < 3
Answer
| m | < 3
Explanation
Solution
If the straight line y=mx is outside the given circle then perpendicular distance of line from centre of circle > radius of circle
1+m210>10