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#🏆పోటీ పరీక్షల స్పెషల్ #📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #jee ##neet #jee #class11 #class12 #class10 #EAMCET
📘ఇంటర్ సైన్స్ & మ్యాథ్స్ - 29 : Jf -= 13-i |2|=1 and unity vii) Cube roots of lie on a circle 103 1101 _ 2101 SE then 2 divide its circumference into a three equal parts to equals] unity viii) In the Argand plane cube roots of form 13 _ 7 3v3 SOL =೭ = i@? Given z = 4 equilateral triangle with area sq. units an 2 103 unity 103 101 Use of Complex Cube roots of in 1101 + 2101 1101 _ (io?) factorization] 103 103 12+ y2 = (r+iy) (Y-iy) (-@2 [03 (i+i0) =1 i) -i(-@')=1@2 = 2 1? +T +] = (T~ @) (T~ @?) = 2 ii) Fourth roots of unity x+xy+y =(r-yo)(x-yo? )| iii) The roots of the equation z4-1= 0 are unity called fourth roots of 2 =(1+ y@ ) 1+ y02 | iv) -xy+)2 +1,+1 The roots are i) Sum of 4th roots ofunity is 0 ii) (ty) Product of 4' roots ofunity is -1 iii) =(xty)(rtoy)(xtoly) iv) In the complex plane the roots form a square  () २) =log(a +b२)+itan 12 + y2 + Z2 _ ry - yz - Zx Vi) zo? )(x+yoj 2 '() x+yo+ +z0 (a?+b2)-itan] -log 3) 2 + )3 +23 vii) -3xyz (h) +3 (a| -log )+itan 4) 2 -62 =(T+)+z) (T +@y + @?- (T +@?) + @z ) 2 29 : Jf -= 13-i |2|=1 and unity vii) Cube roots of lie on a circle 103 1101 _ 2101 SE then 2 divide its circumference into a three equal parts to equals] unity viii) In the Argand plane cube roots of form 13 _ 7 3v3 SOL =೭ = i@? Given z = 4 equilateral triangle with area sq. units an 2 103 unity 103 101 Use of Complex Cube roots of in 1101 + 2101 1101 _ (io?) factorization] 103 103 12+ y2 = (r+iy) (Y-iy) (-@2 [03 (i+i0) =1 i) -i(-@')=1@2 = 2 1? +T +] = (T~ @) (T~ @?) = 2 ii) Fourth roots of unity x+xy+y =(r-yo)(x-yo? )| iii) The roots of the equation z4-1= 0 are unity called fourth roots of 2 =(1+ y@ ) 1+ y02 | iv) -xy+)2 +1,+1 The roots are i) Sum of 4th roots ofunity is 0 ii) (ty) Product of 4' roots ofunity is -1 iii) =(xty)(rtoy)(xtoly) iv) In the complex plane the roots form a square  () २) =log(a +b२)+itan 12 + y2 + Z2 _ ry - yz - Zx Vi) zo? )(x+yoj 2 '() x+yo+ +z0 (a?+b2)-itan] -log 3) 2 + )3 +23 vii) -3xyz (h) +3 (a| -log )+itan 4) 2 -62 =(T+)+z) (T +@y + @?- (T +@?) + @z ) 2 - ShareChat