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Question: If the straight line y = mx is outside the circle x<sup>2</sup> + y<sup>2</sup> –20y + 90 = 0, then...

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

CM > r

̃ 0101+m2>10\left| \frac { 0 - 10 } { \sqrt { 1 + \mathrm { m } ^ { 2 } } } \right| > \sqrt { 10 }

̃ | m | < 3