MathematicsTwo given straight lines meet in O, and through a given points P is drawn a straight line to meet them in Q and R; if the parallelogram OQSR be completed find the equation of the locus of S

Two given straight lines meet in O, and through a given points P is drawn a straight line to meet them in Q and R; if the parallelogram OQSR be completed find the equation of the locus of S


  1. A
  2. B
  3. C
  4. D
     

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    Solution:

    Let the point S be (x,y) and the fixed point p be (h,k) and the axes be along OQ and OR and coordinates of OQOR are (a,o) and (o,b) respectively.
    As the parallelogram OQSR is completed.
    It also passes through the point P whose coordinates are (h,k)
    Generalizing the equation,
    Is the required locus of S.
    So, the correct option is 1.
     
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