Page 39 - Bangladesh_classwiz_BOOK2018_rev_Neat

Av†iv m~²fv‡e dvsk‡bi m‡e©v”P gvb ch©‡e¶Y Kivi Rb¨ Gi ¶y`« ‡_‡K ¶y`«Zi gvb Av‡iv ‡QvU e¨eav‡b wb‡Z

n‡e| m‡e©v”P gv‡bi Rb¨ ‡Uwe‡ji Dc‡i bx‡P j¶¨ Ki‡Z n‡e| wb‡Pi w¯Œb¸‡jv ‡_‡K cÖZxqgvb ‡h, 0.01, 0.001
Ges 0.0001 e¨eavb wb‡q GB c×wZwUi cybive…wË Kiv n‡q‡Q-

j¶Yxq ‡h, me©‡kl w¯Œ‡b mKj ZvwjKve× gvb GKB Ges Zv 0.4142, KviY ZvwjKvwU ïaygvÎ Pvi `kwgK ¯’vb

ch©šÍ cÖ`k©b Ki‡Z m¶g| AwaK m~²gvb Kvm©iwU ( ) Kjv‡g wb‡q hvIqvi gva¨‡g ‡`Lv m¤¢e|

Av‡iv m~²fv‡e ‡`Lvi Rb¨ e¨eavb 0.00001 ‡bIqv n‡jv| Gev‡iv Dfq Kjv‡gi gvb¸‡jv GKB, Avi Zv ZvwjKvi
AvKv‡ii mxgve×Zvi Kvi‡Y| ‡h‡Kv‡bv Kjv‡g ‡M‡j Av‡iv m~²gvb ‡`Lv m¤¢e|

GB dvsk‡bi ‡¶‡Î ≈ 0.7071Gi wbK‡U GKwU ¯’vwbK m‡e©v”P gvb _vK‡Z cv‡i hvi Rb¨ ( ) ≈ 0.41421.
GB c×wZ‡Z Av‡iv ¶y`« ‡_‡K ¶y`«Zi e¨eavb wb‡j Av‡iv wbLyuZ djvdj cvIqv m¤¢e|

GKB c×wZ‡Z dvsk‡bi Av‡cw¶K me©wbgœ gvb ‡ei Kiv hvq| GB dvskbwUi me©wbgœ gvb −2.4142 hv
≈ −0.4142 Gi wbKUeZ©x|

2.8 `ywU ‡jLwP‡Îi ‡Q` we›` y

Dc‡ii eY©bv Abyhvqx K¨vjKy‡jUiwU dvsk‡bi ¸iæZ¡c~Y© MvwYwZK aviYv¸‡jv Kíbv Ki‡Z mnvqZv K‡i, hw`I GwUi
‡jLwPÎ A¼‡bi mvg_¨© ‡bB| AviI GKwU fvj D`vniY n‡jv dvsk‡bi ‡jLwP‡Îi ‡Q`we›`y| wb‡Pi `ywU dvskb
we‡ePbv Kiv hvK -

( ) = ³ − 2 I ( ) = 1 +
dvskb `ywUi ‡jLwPÎ cici ‡mB we›`y‡Z ‡Q` Ki‡e ‡hLv‡b Zv‡`i GKwU mvaviY we›`y _vK‡e, ‡hLv‡b x I y Gi
gvb GKB|

ZvwjKve× GB gvb¸‡jv n‡Z ‡evSv hvq ‡h g~j we›`yi KvQvKvwQ −1 < x < 2 Gi ‡fZi dvsk‡bi gvb¸‡jv G‡K
A‡b¨i Lye KvQvKvwQ x = 1 I x = 2 Gi wfZ‡i GKwU ‡Q`we›`y i‡q‡Q| GB we›`ywU wbw`©ófv‡e ‡ei Kivi Rb¨

Kvm©iwU Kjv‡g wb‡q ( = 1 mn‡hv‡M) Gi gv‡bi GKwU fvj Abygvb Ki‡Z n‡e hvi Rb¨ ( ) I ( )Gi
gvb GKB n‡e Zvici =evUb Pvc‡Z n‡e| cÖ_g w¯Œ‡b ‡`Lv hv‡”Q ‡h, = 1.8 wb‡j Zv wKQyUv ‡QvU nq Ges
‡m‡¶‡Î ( ) < ( ).

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