Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

what is the meaning of multiplicative inverse and additive inverse?
find the multiplicative and additive inverse of z=4-56i.
Asked by scorpiokarthik99 | 14 Aug, 2015, 11:33: AM
answered-by-expert Expert Answer
A d d i t i v e space i n v e r s e space i s space t h e space e l e m e n t space w h i c h space w h e n space a d d e d space r e s u l t s space i n space a d d i t i v e space i d e n t i t y. F o r space t h e space s e t space o f space i n t e g e r s comma space a d d i t i v e space i d e n t i t y space i s space 0 space a n d space t h e space a d d i t i v e space i n v e r s e space o f space apostrophe a apostrophe space i s space apostrophe minus a apostrophe. C o n s i d e r space t h e space n u m b e r space 5. A d d i t i v e space i n v e r s e space o f space 5 space i s space minus 5 B e c a u s e comma space 5 plus open parentheses negative 5 close parentheses equals 0 S i m i l a r l y comma space M u l t i p l i c a t i v e space i n v e r s e space i s space t h e space e l e m e n t space w h i c h space w h e n space m u l t i p l i e d space r e s u l t s space i n space m u l t i p l i c a t i v e space i d e n t i t y. F o r space t h e space s e t space o f space i n t e g e r s comma space m u l t i p l i c a t i v e space i d e n t i t y space i s space 1 space a n d space t h e space m u l t i p l i c a t i v e space i n v e r s e space o f space apostrophe a apostrophe space i s space apostrophe 1 over a apostrophe. C o n s i d e r space t h e space n u m b e r space a. M u l t i p l i c a t i v e space i n v e r s e space o f space 5 space i s space 1 fifth B e c a u s e comma space 5 cross times open parentheses 1 fifth close parentheses equals 1 W e space k n o w space t h a t space 4 minus 56 i minus 4 plus 456 i equals 0 T h e r e f o r e comma space A d d i t i v e space i n v e r s e space o f space 4 minus 56 i equals negative 4 plus 56 i M u l t i p l i c a t i v e space i n v e r s e space o f space 4 minus 56 i equals fraction numerator 1 over denominator 4 minus 56 i end fraction cross times fraction numerator 4 plus 56 i over denominator 4 plus 56 i end fraction equals fraction numerator 4 plus 56 i over denominator 4 squared minus open parentheses 56 i close parentheses squared end fraction equals fraction numerator 4 plus 56 i over denominator 4 squared plus 56 squared end fraction equals fraction numerator 4 plus 56 i over denominator 16 plus 3136 end fraction equals fraction numerator 4 plus 56 i over denominator 3152 end fraction equals 4 over 3152 plus fraction numerator 56 i over denominator 3152 end fraction equals 1 over 788 plus fraction numerator 14 i over denominator 788 end fraction
Answered by Vimala Ramamurthy | 15 Aug, 2015, 08:46: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
22?
question image
Asked by smanishkumar2002 | 09 May, 2018, 12:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
(-¡) ^4n=? 
Asked by Ankitagarabadu1 | 20 Mar, 2018, 12:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Write the following as complex numbers : square root of minus 16 end root
Asked by Topperlearning User | 13 Sep, 2016, 03:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Write the following as complex numbers : fraction numerator square root of 3 over denominator 2 end fraction minus fraction numerator square root of minus 2 end root over denominator square root of 7 end fraction
Asked by Topperlearning User | 08 Aug, 2014, 10:27: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Write in the simplest form: open parentheses 1 plus i close parentheses cubed
Asked by Topperlearning User | 08 Aug, 2014, 10:36: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Prove that  open square brackets open parentheses i close parentheses to the power of 37 plus 1 over open parentheses i close parentheses to the power of 37 close square brackets squared equals 0
Asked by Topperlearning User | 08 Aug, 2014, 10:54: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Write the following as complex numbers : minus b plus square root of minus 4 a c end root space left parenthesis a comma c space greater than 0 right parenthesis
Asked by Topperlearning User | 08 Aug, 2014, 10:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the values of x and y, if 2 x plus 3 y i equals 2 plus 9 i
Asked by Topperlearning User | 08 Aug, 2014, 10:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the values of x and y, if open parentheses 2 y minus 2 close parentheses plus open parentheses 5 minus 4 x close parentheses i equals 0
Asked by Topperlearning User | 08 Aug, 2014, 10:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Express the following in standard form : open parentheses 1 half plus 1 fourth i close parentheses open parentheses fraction numerator minus 2 over denominator 3 end fraction minus 1 fourth i close parentheses
Asked by Topperlearning User | 08 Aug, 2014, 10:47: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×