Page 159 - Grade 10 C.Math

k]ml/, lrqdf b]vfP h:t} ;fFemf laGb' eP/ hfg] hLjfx¿ PQ / PR lvRg'xf];\ . P
Q / R nfO{ hf]8\g'xf];\ . hLjf PQ, PR / QR df ag]sf sf]0fx¿ /
k|To]s sf]0fsf ;Dd'v rfksf] gfd klg n]Vg'xf];\ . O
Q R
M
j[Ttsf b'O{ cf]6f hLjfx¿ kl/lwsf] s'g} Ps laGb'df k|ltR5]lbt x'Fbf ag]sf] sf]0fnfO{ kl/lw sf]0f
Curriculum Development Centre
(inscribed angle) elgG5 . dfly lrqdf QPR rfk QMR df ag]sf] kl/lw sf]0f xf] .

j[Ttdf kl/lwsf] sf]0f ;f] sf]0fn] lgwf{/0f ug]{ rfksf] -;Dd'v rfksf]_ cfwf/;Fu ;Dk|efjL
x'G5 . lrqdf  x'G5 .

rj|mLo rt'e'{h (Cyclic Quadrilateral)
P A
rf/ cf]6} zLif{laGb'x¿ Pp6} j[Ttsf] kl/lwdf kg]{
rt'e{'hnfO{ rj|mLo rt'e{'h elgG5 .
B D
lrqdf PQRS Pp6f rj|mLo rt'e'{h xf] . S
Q
t/ ABCD rj|mLo rt'e'{h xf]Og .
R C

k|of]ufTds k'li6x¿ (Experimental Verifica on)
1. s'g} j[Ttdf a/fa/ s]Gb|Lo sf]0fx¿n] agfpg] rfkx¿ a/fa/ x'G5g\ .
lrqdf h:t} km/s km/s gfksf b'O{ j[Ttx¿ lvRg'xf];\ . A C A

sDkf;n] b'j} j[Ttx¿sf] s]Gb| O df a/fa/ gfksf
sf]0fx¿ AOC / COB /rgf ug'{xf];\ . O C B O
wfuf]n] b'j} j[Ttsf rfkx¿ AC / BC nfO{ gfKg'xf];\ .
tL b'j} rfksf] gfk slt x'G5 ?n/sf] ;xfotfn] kTtf B
nufpg'xf];\ / tn lbOPsf] tflnsf eg'{xf];\ M

lrq BOC AOC rfk AC rfk BC kl/0ffd

(i)
(ii)

dfly tflnsfsf] lgisif{ 5f]6f] jfSodf n]Vg'xf];\ .
2. s'g} klg j[Ttdf a/fa/ rfkx¿n] agfpg] s]Gb|Lo sf]0f a/fa/ x'G5g\ . D C

lrqdf b]vfP h:t} km/s km/s cw{Jof; ePsf D C O
b'O{ cf]6f j[Ttx¿ lvRg'xf];\ . b'O{ a/fa/ rfkx¿ O O
AB / CD sf6\g'xf];\ . A
A B B

156 ul0ft, sIff – 10