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  • If the straight line is outside the circle <img alt="x^2+y^2-20 y+90=0" src="https://entrancecorner.oncodeco

If the straight line y=m x is outside the circle x^2+y^2-20 y+90=0 , then

Option: 1

m>3


Option: 2

m<3


Option: 3

|m|>3


Option: 4

|m|<3


Answers (1)

best_answer

If the straight line y=m x is outside the given circle then perpendicular distance of line from centre of circle > radius of circle

\frac{10}{\sqrt{1+m^2}}>\sqrt{10}                \Rightarrow \quad\left(1+m^2\right)<10 \Rightarrow m^2<9 \quad \Rightarrow|m|<3

Posted by

Ritika Kankaria

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