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AvR‡Ki cv‡V †Zvgv‡`i ¯^vMZg. †gvt †evinvb DwÏb miKvi wmwbqi wkÿK ( MwYZ) †`weØvi †iqvR DwÏb cvBjU g‡Wj D”P we`¨vjq †`weØvi, Kzwgjøv | wkÿK cwiwPwZ.

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Presentation on theme: "AvR‡Ki cv‡V †Zvgv‡`i ¯^vMZg. †gvt †evinvb DwÏb miKvi wmwbqi wkÿK ( MwYZ) †`weØvi †iqvR DwÏb cvBjU g‡Wj D”P we`¨vjq †`weØvi, Kzwgjøv | wkÿK cwiwPwZ."— Presentation transcript:

1 AvR‡Ki cv‡V †Zvgv‡`i ¯^vMZg

2 †gvt †evinvb DwÏb miKvi wmwbqi wkÿK ( MwYZ) †`weØvi †iqvR DwÏb cvBjU g‡Wj D”P we`¨vjq †`weØvi, Kzwgjøv | wkÿK cwiwPwZ

3 A (10, 12) B (6,-6) C (-9, 5) D (5,-3) E (-2,-3) F (2,-3)

4 A (10, 12) B (6,-6) C (-9, 5) D (5,-3) E (-2,-3) F (2,-3) AvR‡Ki cvV †jLwP‡Î we›`y ¯’vcb Ges †jLwPÎ AsKb

5 wkÿv_x©e„›` AvR‡Ki cvV †k‡l †Zvgiv hv hv wkL‡Z cvi‡e Zv n‡”QÑ  ‡jLwPÎ Kx Zv e¨vL¨v Ki‡Z cvi‡e|  †jLwP‡Îi Aÿ I myweavRbK GKK wb‡q we›`ycvZb Ki‡Z cvi‡e |  †jLwP‡Îi x- Aÿ I y- Aÿ Kx Zv ej‡Z cvi‡e|  x- Aÿ I y- Aÿ‡iLv Øviv †jLwPÎ Kqfv‡M wef³ nq Zv ej‡Z cvi‡e|  g~jwe›`y Kx Zv e¨vL¨v Ki‡Z cvi‡e|  ¯’vbvsK Kx Zv ej‡Z cvi‡e|  ¯’vbvsK †K Avwe®‹vi K‡ib Zv ej‡Z cvi‡e|  Aÿ‡iLv Øviv wef³ cÖwZwU As‡k †Kvb ai‡bi ¯’vbvs‡Ki gvb †Kv_vq em‡e Zv ej‡Z cvi‡e|  †jLwP‡Îi mvnv‡h¨ mgxKi‡Yi mgvavb Ki‡Z cvi‡e|

6 X/X/ X Y/Y/ O Y 1g †PŠ‡Kv Y ( +,+ ) 2q †PŠ‡Kv Y ( -, +) 3q †PŠ‡Kv Y ( -,- ) 4_© †PŠ‡KvY ( +, - )

7 X/X/ X Y/Y/ O Y A (10, 12) B (6,-6) C (-9, 5)

8 1. ( K) x + y = 4 mgxKi‡Yi †jL A¼b Ki | mgvavb t x + y = 4  y = 4 – x GB mgxKi‡Yi †j‡Li K‡qKwU we›`yi ¯’vbvsK wbY©q Kwi| 14 -5 0 9 3 x y g‡b Kwi, XOX / I YOY / h _vµ‡g x- Aÿ I y- Aÿ Ges O g~jwe›`y| Dfq A‡ÿ ÿz`ªZg e‡M©i cÖwZ evûi ˆ`N©¨‡K GKK awi| (1, 3 ), (4, 0), ( -5, 9) Gi cÖwZi~cx we›`y¸‡jv †jL KvM‡R ¯’vcb Kwi| G we›`y¸‡jv †hvM K‡i Dfq w`‡K ewa©Z K‡i GKwU mij‡iLv cvIqv †Mj| GwUB x + y = 4 mgxKiYwUi †jL|

9 X/X/ X Y Y/Y/ O A(1,3) B(4,0) C(-5,9) G we›`y¸‡jv †hvM K‡i Dfq w`‡K ewa©Z K‡i GKwU mij‡iLv cvIqv †Mj| GwUB x + y = 4 m gxKiYwUi †jL|

10 `jMZ KvR 1. ( K) x + y = 5 mgxKi‡Yi †jL A¼b Ki | mgvavb t x + y = 5  y = 5 – x GB mgxKi‡Yi †j‡Li K‡qKwU we›`yi ¯’vbvsK wbY©q Kwi| 24 -4 1 9 3 x y

11 GKK g~j¨vqb  ¯ ’vbvsK ej‡Z Kx eyS?  ¯’vbvsK †K Avwe®‹vi K‡ib?  g~jwe›`y ej‡Z Kx eyS?  cÖ_g †PŠK‡Y x I y Gi gvb wK n‡e?  Z…Zxq †PŠK‡Y x I y Gi gvb wK n‡e?

12 `jMZ g~j¨vqb 1. ( K) x + y = 11 mgxKi‡Yi †jL A¼b Ki | mgvavb t x + y = 11  y = 11 – x GB mgxKi‡Yi †j‡Li K‡qKwU we›`yi ¯’vbvsK wbY©q Kwi| x y 5 6 0 11 -2 13 9 2

13 X/X/ X Y Y/Y/ O (5,6) (0,11) (-2,13) (9,2)

14 evoxi KvR 1. ( K) x + y = 7 mgxKi‡Yi †jL A¼b Ki | ( L) x + 2y = 9 mgxKi‡Yi †jL A¼b Ki |

15 wkÿv_x© eÜziv dz‡ji gZ my›`i nDK †Zvgv‡`i Rxeb| ab¨ev` mKj‡K


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