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Mr. Mohan Pudasaini




COORDINATE GEOMETRY

    Class :9
Mr. Mohan Pudasaini
         Y
     B




                       M


             p



X’   O
                                  A    X




         Y
         ’
Mr. Mohan Pudasaini
                                  Y
                             B

Angle made in X-axis =



   Then, APN=
                                                  M
                                                       P(x,y
                                      p                )



              X’              O                    N         A    X




                   Let P(x,y) be any point on the line AB
                                Y
                   Draw a perpendicular from P to OA
                                ’
Mr. Mohan Pudasaini
                           Y
                       B
Now, In triangle PNA
  Tan =

     NA= y Tan
                                         M
                                              P(x,y
And In triangle OMA            p              )
  Cos =

   Cos   =        X’   O                  N         A    X

   Cos   =



                           Y
                           ’
Mr. Mohan Pudasaini



Find the equation of the line if p=4 and          =1350

   Equation of the line is
        xcos +ysin =p
   Or, xcos1350+ysin1350=4
   Or,x(- )+y( )=4

   X-y+4        =0

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Co-orinate Geometry by Moahan Pudasaini