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- 3 - ixhqla; .Ks;h rejka o3⁄4Yk AL / 2025 / 10 / S - I (NEW) – TARGET EXAM 06 3. wd.k aâ ;,h u; 0 ≤ Arg Z ≤ π 3 hk wjYH;djh ;Dma; lrk Z ixlS3⁄4K ixLHdj ksrEmKh lrk R fmfoi w÷re lr olajkak' R fmfoi ;=< jQ Z i|yd |iZ + 2| ys wvq;u w.h o fidhkak' fyda 4. n ∈ Z + i|yd (1 + x) n ys oaúmo m%idrKh" x ys wdfrdayK n, weiqßka ,shd olajkak' (1 + x + ax 2 ) 7 m%idrKfha x 2 mofha ix.=Klh 14 kï" a = −1 nj fmk ajkak' [y;rjeks m sgqj n,k ak' ........................................................................................................................................................................................... ........................................................................................................................................................................................... ........................................................................................................................................................................................... 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(i) ATTENTIVENESS hk jpkfhys wlaIrj,ska jrlg wlaIr y;r ne.sk a f.k úúO jpk lShla iEÈh yels o@ (ii) fuys jpkj,ska l Shl wvqu jYfhka iajr tllaj;a ;sfío@
- 4 - ixhqla; .Ks;h rejka o3⁄4Yk AL / 2025 / 10 / S - I (NEW) – TARGET EXAM 06 5. a, b, c, d ksh; fõ' lim x→1 x a − x b x c − x d = (a−b) (c−d) nj fmk ajkak' 6. f(x) = x 3 3 − x 2 2 Y%s;h i,lu q' y = f(x) m%ia;drh rEmfha oelafõ' tu rEmfhau y = |f(x)| m%ia;drh w¢kak' tkhska y = |f(x)| , x = 1, x = 0 yd y = 0 jl%j,ska jgjQ fmfoi x − wlaIh jgd f3⁄4ähka 2π fldaKhl sk a N%uKh l< úg ckkh jk >k jia;=fõ mßudj >k t All π [ 1 63 − 1 18 + 1 20] jk nj fmkajkak' [miajeks msgqj n,kak' ........................................................................................................................................................................................... ........................................................................................................................................................................................... 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