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    bharatkhanna's Avatar
    bharatkhanna Posts: 1, Reputation: 1
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    #1

    Apr 16, 2014, 04:43 AM
    Conic Sections
    AOB, COD are two unequal line segments bisecting at right angles. Then locus of a point P such that PA*PB=PC*PD is a
    A) Circle
    B) Parabola
    C) Ellipse
    D) Hyperbola
    (Please explain)
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Apr 16, 2014, 09:09 AM
    Try drawing a sketch and see if you can figure it out. Hint: make AB>CD, and figure out if there are any points along AB that would satisfy the condition. Note that if P is at the origin PA*PB > PC*PD, and if P is at either A or B then PA*PB = 0 <PC*PD.
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