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Mr.MOHAN PUDASAINI
Mr.MOHAN PUDASAINI

    zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf]
                          Y
    Ô]qkmn kQf nufpg]                 A(x1,y1
                                                                  )

lrqdf ABC lqe'h 5 h;sf]                                               C(x3,y3
  A(x1,y1), B(x2,y2) / C(x3,y3) 5g .
lgb]{zfªs                                                            )
                                                 B(x2,y2
                                                 )



lqe'h ABC sf]
Ô]qkmn = ?

                                   X’                                           X

                                        Y’
Mr.MOHAN PUDASAINI

   zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf]
                         Y
   Ô]qkmn kQf nufpg]                 A(x1,y1
                                                           )
                                                                   C(x3,y3
 X-cÔdf A,B,C af6 AD, BM / CN                                      )
nDa lvrf}“ .                           B(x2,y2
                                       )
  ABC= ;nr (ABMD +ADCN -BMNC )




                           X’                                            X
                                                M              D   N
                                 Y’
Mr.MOHAN PUDASAINI

    zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf]
    Ô]qkmn kQf nufpg]           Y     A(x1,y1
                                                                    )
                                                                            C(x3,y3
  ABC= ;nr (ABMD +ADCN -BMNC )                            B(x2,y2           )
                                                          )
=½(MB+DA)MD 1/2(DA+NC)DN ½(MB+NC)MN
+               –
=1/2[(y2+y1)(x1-x2)+(y1+y3)(x3-x1) (y2+y3)(x3-x2)]
     ;/n k5L         -
  =1/2[x1y2-x2y1)+(x2y3-x3y2)+(x3y1-x1y3)]

  Ô]qkmn wgfTds x'g]
  ePsf]n]
 ABC=1/2 [x1y2-x2y1)+(x2y-x3y2)+(x3y1-x1y3)]
                                                                                      X
                                        X’                  M           D     N

                                                     Y’
Mr.MOHAN PUDASAINI




     x1       x2        x3    x1


     y1       y2        y3    y1



lqe'hsf]           (x1y2 x2y1) +(x2y3 x3y2 )+(x3y1 x1y3 )
Ô]qkmn =1/2        -            -            -
Mr.MOHAN PUDASAINI




(2,-3), (3,2) / (-2,5) lzif{laGb'x? ePsf] lqe'hsf]
Ô]qkmn slt xG5<

       2       3      -2       2


       -3      2       5       -3



 lqe'hsf]       {4 -(-9)} + - (-4)}+{6 - 10} ju{ PsfO{
                           {15
 Ô]qkmn =1/2=1/2 {4+9} + {15+4} + {-4} ju{ PsfO{

            =1/2 13+19+4 ju{ PsfO{

             =14   ju{ PsfO{

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Co-orinate Geometry

  • 2. Mr.MOHAN PUDASAINI zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf] Y Ô]qkmn kQf nufpg] A(x1,y1 ) lrqdf ABC lqe'h 5 h;sf] C(x3,y3 A(x1,y1), B(x2,y2) / C(x3,y3) 5g . lgb]{zfªs ) B(x2,y2 ) lqe'h ABC sf] Ô]qkmn = ? X’ X Y’
  • 3. Mr.MOHAN PUDASAINI zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf] Y Ô]qkmn kQf nufpg] A(x1,y1 ) C(x3,y3 X-cÔdf A,B,C af6 AD, BM / CN ) nDa lvrf}“ . B(x2,y2 ) ABC= ;nr (ABMD +ADCN -BMNC ) X’ X M D N Y’
  • 4. Mr.MOHAN PUDASAINI zLif{laGb'x? Yfxf ePsf cj:yfdf lqe'sf] Ô]qkmn kQf nufpg] Y A(x1,y1 ) C(x3,y3 ABC= ;nr (ABMD +ADCN -BMNC ) B(x2,y2 ) ) =½(MB+DA)MD 1/2(DA+NC)DN ½(MB+NC)MN + – =1/2[(y2+y1)(x1-x2)+(y1+y3)(x3-x1) (y2+y3)(x3-x2)] ;/n k5L - =1/2[x1y2-x2y1)+(x2y3-x3y2)+(x3y1-x1y3)] Ô]qkmn wgfTds x'g] ePsf]n] ABC=1/2 [x1y2-x2y1)+(x2y-x3y2)+(x3y1-x1y3)] X X’ M D N Y’
  • 5. Mr.MOHAN PUDASAINI x1 x2 x3 x1 y1 y2 y3 y1 lqe'hsf] (x1y2 x2y1) +(x2y3 x3y2 )+(x3y1 x1y3 ) Ô]qkmn =1/2 - - -
  • 6. Mr.MOHAN PUDASAINI (2,-3), (3,2) / (-2,5) lzif{laGb'x? ePsf] lqe'hsf] Ô]qkmn slt xG5< 2 3 -2 2 -3 2 5 -3 lqe'hsf] {4 -(-9)} + - (-4)}+{6 - 10} ju{ PsfO{ {15 Ô]qkmn =1/2=1/2 {4+9} + {15+4} + {-4} ju{ PsfO{ =1/2 13+19+4 ju{ PsfO{ =14 ju{ PsfO{