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ગણિત ધોરણ 11 સેમિસ્ટર 2

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ગણિત

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a + bi સ્વરૂપમાં દર્શાવો.
open parentheses italic 3 italic plus i close parentheses open parentheses italic 3 italic minus i close parentheses open parentheses italic 1 over italic 5 italic plus italic 1 over italic 10 i close parentheses


open parentheses italic 3 italic plus i close parentheses open parentheses italic 3 italic minus i close parentheses open parentheses italic 1 over italic 5 italic plus italic 1 over italic 10 i close parentheses

equals space open parentheses 9 minus i squared close parentheses cross times 1 fifth cross times open parentheses 1 plus 1 half i close parentheses

equals space 1 fifth open parentheses 9 minus open parentheses negative 1 close parentheses close parentheses open parentheses 1 plus 1 half i close parentheses space space space space space open parentheses because space i squared space equals space minus 1 close parentheses

equals space 2 space open parentheses 1 plus 1 half space i close parentheses


equals space 2 plus space straight i comma space જે a + bi સ્વરૂપ છે. 

a + bi સ્વરૂપમાં દર્શાવો.
open parentheses square root of 2 minus i close parentheses minus i open parentheses 1 minus square root of 2 i close parentheses


open parentheses square root of italic 2 italic minus i close parentheses italic minus i open parentheses italic 1 italic minus square root of italic 2 i close parentheses

italic equals italic space square root of italic 2 italic minus i italic minus i italic plus square root of italic 2 i to the power of italic 2

italic equals italic space square root of italic 2 italic minus italic 2 i italic space italic plus italic space square root of italic 2 open parentheses italic minus italic 1 close parentheses italic space italic space italic space italic space open parentheses italic because italic space i to the power of italic 2 italic space italic equals italic space italic minus italic 1 close parentheses

italic equals italic space italic minus italic 2 i italic space italic space, જે a + bt સ્વરૂપ છે.

fraction numerator 4 plus straight i over denominator 2 minus 3 straight i end fraction space space open parentheses open parentheses 2 minus 3 i close parentheses to the power of negative 1 end exponent space ન ો space ઉપય ો ગ space કર ી ન ે close parentheses

fraction numerator 4 plus straight i over denominator 2 minus 3 straight i end fraction

equals space open parentheses 4 plus i close parentheses open parentheses 2 minus 3 i close parentheses to the power of negative 1 end exponent

equals space open parentheses 4 plus i close parentheses open parentheses fraction numerator 2 over denominator 2 squared plus 3 squared end fraction plus fraction numerator 3 over denominator 2 squared plus 3 squared end fraction i close parentheses

equals space open parentheses 4 plus i close parentheses space open parentheses 2 over 13 plus 3 over 13 i close parentheses

equals space 8 over 13 plus 12 over 13 i plus fraction numerator 2 i over denominator 13 end fraction plus 3 over 13 space i squared

equals space 8 over 13 plus 14 over 13 straight i plus 3 over 13 open parentheses negative 1 close parentheses space space space space open parentheses because space straight i squared space equals space minus 1 close parentheses

equals space 5 over 13 plus 14 over 13 straight i comma space જે a + bi સ્વરૂપ છે.

a + bi સ્વરૂપમાં દર્શાવો.
open parentheses italic 2 italic minus italic 3 i close parentheses open parentheses italic minus italic 2 italic plus i close parentheses


open parentheses italic 2 italic space italic minus italic space italic 3 i close parentheses open parentheses italic minus italic 2 italic plus i close parentheses

italic equals italic space italic minus italic 4 italic space italic plus italic space italic 2 i italic space italic plus italic 6 i italic space italic minus italic 3 i to the power of italic 2

italic equals italic space italic minus italic 4 italic space italic plus italic 8 i italic space italic minus italic 3 italic space open parentheses italic minus italic 1 close parentheses italic space italic space italic space italic space open parentheses italic because italic space i to the power of italic 2 italic space italic equals italic space italic minus italic 1 close parentheses

italic equals italic space italic minus italic 1 italic space italic plus italic 8 i italic comma italic spaceજે a + bi સ્વરૂપ છે.

a + bi સ્વરૂપમાં દર્શાવો.
fraction numerator italic 1 italic plus italic 2 i over denominator italic 3 italic minus italic 4 i end fraction italic space italic plus italic space fraction numerator italic 2 italic minus i over denominator italic 5 i end fraction


fraction numerator 1 plus 2 straight i over denominator 3 minus 4 straight i end fraction plus fraction numerator 2 minus i over denominator 5 i end fraction

equals space open parentheses 1 plus 2 i close parentheses open parentheses 3 minus 4 i close parentheses to the power of negative 1 end exponent space plus space open parentheses 2 minus i close parentheses open parentheses 5 i close parentheses to the power of negative 1 end exponent

equals space open parentheses 1 plus 2 i close parentheses open parentheses fraction numerator 3 over denominator 3 squared plus 4 squared end fraction plus fraction numerator 4 over denominator 3 squared plus 4 squared end fraction close parentheses plus open parentheses 2 minus i close parentheses open parentheses negative 5 over 5 squared i close parentheses


italic equals italic space open parentheses italic 1 italic plus italic 2 i close parentheses open parentheses italic 3 over italic 25 italic plus italic 4 over italic 25 i close parentheses italic plus open parentheses italic 2 italic minus i close parentheses open parentheses italic minus italic 1 over italic 5 i close parentheses

italic equals italic space italic 3 over italic 25 italic plus italic 4 over italic 25 i italic plus italic 6 over italic 25 i italic plus italic 8 over italic 25 i to the power of italic 2 italic minus italic 2 over italic 5 i italic plus italic 1 over italic 5 i to the power of italic 2


equals space 3 over 25 plus 10 over 25 straight i plus 8 over 25 open parentheses negative 1 close parentheses minus 10 over 25 straight i plus 5 over 25 open parentheses negative 1 close parentheses

equals space minus 10 over 25 equals negative 2 over 5 plus Oi


જે, a + bi સ્વરૂપ છે.