Nội dung text Complex Number & Animal Identity - Daily-18 (Set-A)-With Solve.pdf
4 e ̈vL ̈v: i –2021 + 2() –2019 = 1 i 2021 + 2 2019 = 1 i 2020.i + 2 3 = 1 i + 2 1 = – i + 2 x = 2 ; y = – 1 x y = – 2 25. 1 – ix 1 + ix = a – ib Ges x, a I b ev ̄Íe n‡j, wb‡Pi †KvbwU mwVK? a 2 + b2 = 1 a 2 – b 2 = 1 a 2 + b2 = – 1 a 2 + b2 = 0 DËi: a 2 + b2 = 1 e ̈vL ̈v: 1 – ix 1 + ix = a – ib 1 + x2 1 + x2 = a 2 + b2 [gWzjvm wb‡q] a 2 + b2 = 1 a 2 + b2 = 1 Note: a I b ev ̄Íe msL ̈v Ges a 2 + b2 = 1 n‡j x Gi GKwU ev ̄Íe gvb 1 – ix 1 + ix = a – ib mgxKiY‡K wm× Ki‡j, x = b a + 1 26. 4 – 49 = ? 7i 3i 7 2 (1 i) 7 2 (1 i) DËi: 7 2 (1 i) e ̈vL ̈v: 4 – ( 7) 4 = 7 2 (1 i) 27. a + ib = 4 – i n‡j, a 2 – b 2 Gi gvb KZ? 11 12 13 15 DËi: 15 e ̈vL ̈v: a = 4, b = – 1 a 2 – b 2 = 42 – (– 1)2 = 16 – 1 = 15 28. i + – i = ? 2 1 0 2 DËi: 2 e ̈vL ̈v: i = 1 2 (1 + i); – i = 1 2 (1 – i) i + – i = 1 2 (1 + i + 1 – i) = 2 Shortcut: i + – i = 2 i – – i = 2i 29. |z – 3| = 2|z + 3| Øviv wb‡`©wkZ mÂvic_ †KvbwU? e„Ë cive„Ë Dce„Ë Awae„Ë DËi: e„Ë e ̈vL ̈v: |z – 3| = 2|z + 3| |z – 3| |z + 3| = 2 |z – z1| |z – z2| = k; GLv‡b, k 1 GKwU e„Ë wb‡`©k K‡i| 30. z = 1 + i 1 – i n‡j, Re(z) = †KvbwU? 0 – i – 1 1 DËi: 0 e ̈vL ̈v: 1 + i 1 – i = i = 0 + i Re(z) = 0 RxeweÁvb (Biology) 31. wb‡Pi †KvbwUi ̄^vfvweK g„Zz ̈ †bB? ̄úÄ Nvmdwos mgy`a Zviv nvBWav DËi: nvBWav e ̈vL ̈v: nvBWav wbWvwiqv c‡e©i cÖvYx| G‡`i UwU‡cv‡UwÝ _vKvi Kvi‡Y G‡`i †`‡ni †Kvb GKwU Ask †Ku‡U †`n †_‡K wew”Qbœ n‡q †M‡j Avevi †m Ask cybivq m„wó n‡Z cv‡i| G Kvi‡Y nvBWav‡K KuvU‡j GwU gviv hvq bv| ZvB Zv‡`i ̄^vfvweK g„Zz ̈ †bB| 32. ev`vwg e‡Y©i nvBWav wb‡Pi †KvbwU? Hydra viridissima Hydra vulgaris Hydra oligactis Hydra cauliculata DËi: Hydra oligactis e ̈vL ̈v: Hydra viridissima → meyR e‡Y©i Hydra vulgaris → eY©nxb ev njy`-ev`vwg Hydra oligactis → ev`vwg e‡Y©i