Page 168 - Grade 10 C.Math

;Defjgf 3: /]vfn] j[TtnfO{ lrq 3 df h:t} Pp6f / Pp6} dfq laGb' (T) df k|ltR5]bg klg ug{
;S5 . oxfF s] j[Ttn] laGb' T sf] 5]p5fpdf cGo laGb'nfO{ klg :kz{ u5{ lsg\ < 5nkmn ug'{xf];\ .
j[Ttsf] s'g} Pp6f laGb'nfO{ ;aeGbf glhsaf6 5f]P/ hfg] /]vfnfO{ :kz{ /]vf elgG5 . To:t}
pSt /]vfn] 5f]Psf] ;aeGbf glhssf] laGb'nfO{ :kz{ laGb' elgG5 . lrq 3 df PQ :kz{ /]vf /
laGb' T :kz{ laGb' xf] .
Curriculum Development Centre
k/LIf0f 1 cw{Jof; / :kz{ /]vf larsf] ;DaGw

b'O{ cf]6f km/s km/s cw{Jof; ePsf j[Ttx¿ lvRg'xf];\ .
j[Ttsf] s]Gb|af6 :kz{ /]vf AB sf] :kz{ laGb' P nfO{ O B
lrqdf b]vfP h:t} hf]8\g'xf];\ .
O P
OPA / OPB gfKg'xf];\ .
A P B A
k|fKt glthfnfO{ tflnsfdf eg'{xf];\ . lrq 4 lrq 5

lrq OPB OPA glthf

dflysf] k|of]uaf6 k|fKt glthfnfO{ sIffsf]7fdf 5nkmn ug'{xf];\ .

j[Ttsf] :kz{ laGb';Dd lvlrPsf] cw{Jof; :kz{ /]vfdf nDa x'G5 . dflysf] lrqdf OP AB
x'G5, hxfF P :kz{ laGb' xf] .
pbfx/0f 1
O
lrqdf O j[Ttsf] s]Gb| laGb' xf] . olb AB = 8 ;]=ld= / A B
ON = 5 ;]=ld= eP PN sf] nDafO kTtf nufpg'xf];\ .

;dfwfg M P N

lrqdf, AB = 8 ;]=ld=, OP = AB = 4 ;]=ld=

/ OPN = 90° 5 .
2
2
oxfF, ON = OP + PN [OPN df kfOyfuf]/; ;fWoaf6 ]
2
cyjf, 5 = 4 + PN 2
2
2
cyjf 25 = 16 + PN 2
cyjf 9 = PN 2
cyjf 9 = PN

cyjf, PN = 3 ;]=ld=

165 ul0ft, sIff – 10