Page 83 - Bangladesh_classwiz_BOOK2018_rev_Neat

NvZ Ges g~j Lyu‡R ‡ei Kivi Rb¨ ¸Y Ges fvM e¨env‡ii cÖ‡qvRb ci‡Zv Ges Ab¨vb¨ c×wZi ‡P‡q jMvwi`g
e¨envi Kiv wQj myweavRbK| D`vniY¯^iƒc, wb‡Pi w¯Œ‡bi g‡Zv ‡Kv‡bv msL¨vi 12 Zg NvZ ‡ei Kivi Rb¨ msL¨vwUi

jMvwi`g‡K 12 w`‡q ¸Y Ki‡Z nq| Gici cÖvß djwU‡K 10 Gi m~PK wn‡m‡e e¨envi Ki‡j djvdj cvIqv hvq
12
hv 3.2 Gi gvb ‡ei Kivi Rb¨ 3.2 ‡K 12 evi ¸Y Kivi ‡P‡q A‡bK mnR| Aek¨, K¨vjKy‡jUi e¨envi K‡i
mivmwi GB gvb ‡Pv‡Li cj‡K ‡ei Kiv hvq, hv wb‡Pi wZb bv¤^vi w¯Œ‡b ‡`Lv‡bv n‡q‡Q|

†h‡nZy Avgiv `kwgK msL¨v c×wZ (hvi wfwË n‡jv 10) e¨envi Kwi, ZvB `kwfwËK j‡Mi e¨envi wQ‡jv
myweavRbK|

wb‡Pi w¯Œ‡bi ZvwjKv¸‡jv‡Z jMvwi`wgK dvskb ( ) = Gi wKQy D`vniY ‡`Lv‡bv n‡jv-

j¶Yxq ‡h, 20 = 10 + 2 = 1 + 2 Ges 2000 = 1000 + 2 = 3 +

2 -GBfv‡e eo msL¨vi jMvwi`‡gi gvb Lye mn‡R ‡QvU msL¨vi jMvwi`‡gi gva¨‡g ‡ei Kiv hvq|

GwU Kivi Rb¨ 10 Gi Nv‡Zi gvb ‡hvM Kiv nq| Avi ZvB jM mviYx‡Z 1 ‡_‡K 10 Gi wfZ‡ii msL¨v¸‡jvi
j‡Mi gvb ZvwjKve× _v‡K|

7.4 Ab¨vb¨ wfwËhy³ jMvwi`g

Í
jMvwi`‡gi aviYv m~PK dvsk‡bi mv‡_ m¤úK©hy³| GLb ch©š ïay `kwfwËK m~PK dvskb Av‡jvPbv Kiv n‡q‡Q|
8
wKš‘ ‡h‡Kv‡bv abvZ¥K msL¨v wfwË n‡Z cv‡i| ‡hgb ejv hvq, (√3) = 81 | GwU‡K ejv nq 81 Gi √3 wfwËK
jM| Ab¨fv‡e 81 = 8. K¨vjKy‡jU‡i ‡h ‡Kv‡bv abvZ¥K wfwËhy³ jM Gi gvb i Kx e¨envi K‡i
√3
cvIqv hvq| jMvwi`‡gi wfwË cÖ‡ek Kiv‡bvi ci $ evUb ‡P‡c cÖ‡qvRbxq msL¨vwU cÖ‡ek Kwi‡q = evUb Pvc‡j
djvdj cvIqv hv‡e|

Dc‡ii me©‡kl w¯Œb GKwU wbw`©ó wfwËhy³ jMvwi`g Ges H GKB wfwËhy³ m~P‡Ki mv‡_ m¤úK© wb‡`k© K‡i| hv 10
Í
wfwËhy³ dvsk‡bi g‡ZvB| qz e¨envi K‡i Ab¨vb¨ wfwËhy³ j‡Mi gvb ‡ei Kiv hvq| GLb ch©š ïaygvÎ
`kwfwËK j‡Mi Rb¨ GwU e¨envi Kiv n‡q‡Q, wKš‘ Ab¨vb¨ wfwËhy³ j‡Mi R‡b¨I GwU e¨envi Kiv hvq| ‡mRb¨

wfwËi gvb emv‡bvi c‡i GKwU Kgv (q)) w`‡q msL¨vwU‡K wj‡L Gi gvb ‡ei Kiv hvq , wb‡Pi cÖ_g w¯Œ‡b
81 Gi gvb ‡ei K‡i ‡`Lv‡bv n‡jv|
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