# analytic geometry

• Jan 10th 2011, 02:07 AM
jam2011
analytic geometry
a line with y-intercept 5 and positive slope is drawn such that this line intersect x^2+y^2 = 9. What is the least slope of such a line?

my solution:

the line through A (0,5) has at least slope, when it is tangent to the circle at B.
Let B= <AOB. Since < ABO = 90, then OB = 3, OA = 5, AB = 4
hence tanB = 3/4.
therefore, the minimum slope of that line is 3/4....

anyone has another solution of this problem? or anyone can add a solution to this problem? I owe you for such a concern .thank you very much. good day(Clapping)
• Jan 11th 2011, 12:00 AM
CaptainBlack
Quote:

Originally Posted by jam2011
a line with y-intercept 5 and positive slope is drawn such that this line intersect x^2+y^2 = 9. What is the least slope of such a line?

my solution:

the line through A (0,5) has at least slope, when it is tangent to the circle at B.
Let B= <AOB. Since < ABO = 90, then OB = 3, OA = 5, AB = 4
hence tanB = 3/4.
therefore, the minimum slope of that line is 3/4....

anyone has another solution of this problem? or anyone can add a solution to this problem? I owe you for such a concern .thank you very much. good day(Clapping)

Question already asked and dealt with here

CB