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    sandyydj's Avatar
    sandyydj Posts: 2, Reputation: 1
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    #1

    Jul 16, 2010, 10:44 PM
    striaght lines
    find equation of line passing through P(1,2) and intersecting X+Y=5,2X+y=7 at A,B resp PA PB harmonic mean is 10
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Jul 17, 2010, 09:03 AM

    at A,B resp PA PB harmonic mean is 10
    Could you please elaborate on what this refers to?

    The lines x+y=5 and 2x+y=7 intersect at (2,3).

    Since the line needed passes through (1,2), we can have it intersect where the other two lines intersect. This means it passes through
    (1,2) and (2,3). One line would be y=x+1


    But, a harmonic mean is the number of terms divided by the sum of the reciprocals of those terms.
    As to what the harmonic mean and PB refers to, I do not know.
    sandyydj's Avatar
    sandyydj Posts: 2, Reputation: 1
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    #3

    Jul 17, 2010, 07:33 PM
    Quote Originally Posted by galactus View Post
    Could you please elaborate on what this refers to?.

    The lines x+y=5 and 2x+y=7 intersect at (2,3).

    Since the line needed passes through (1,2), we can have it intersect where the other two lines intersect. This means it passes through
    (1,2) and (2,3). One line would be y=x+1


    But, a harmonic mean is the number of terms divided by the sum of the reciprocals of those terms.
    As to what the harmonic mean and PB refers to, I do not know.
    PA^(-1)+pb^(-1)=10
    the answer is to be in the form of y-2=tana(x-1) where tan(A)=-----
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