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Math Help - analytic geometry

  1. #1
    Junior Member
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    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
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jam2011 View Post
    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
    Question already asked and dealt with here

    CB
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