When you get ,
Notice that is NOT , but it's .
Now solving this gives the correct answer.
Dear forum members,
could you please help me?
Find the values of b for which the straight line and the circle have no common points.
So the distance from the line to the centre of the circle has to be more than the radius, right?
I solved and obtained
but the sample answer says:
Why? Because of the square root?
Thank you in advance!
Hello, Coach!
As you found, the center is and the radius isFind the values of for which the straight line
and the circle have no common points.
So the distance from the line to the centre of the circle
has to be more than the radius, right? . . . . Right!
I used this distance formula . . .
The distance from a point to the line
. . is given by: . . . Note the absolute value.
We have point and line
The distance is: . . . . which is to be greater than
So we have: .
And we have two inequalities to solve . . .
. .
. .