Home
Class 12
MATHS
If Z(1)=2 + 3i and z(2) = -1 + 2i then...

If ` Z_(1)=2 + 3i and z_(2) = -1 + 2i` then find
(i) ` z_(1) +z_(2)`
(ii) ` z_(1) -z_(2)`
(iii) `z_(1).z_(2)`
(iv) ` z_(1)/z_(2)`

Text Solution

AI Generated Solution

To solve the problem, we will perform the operations step by step for the complex numbers \( z_1 = 2 + 3i \) and \( z_2 = -1 + 2i \). ### (i) Find \( z_1 + z_2 \) 1. **Identify the real and imaginary parts**: - Real part of \( z_1 \): 2 - Imaginary part of \( z_1 \): 3 - Real part of \( z_2 \): -1 ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|60 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

If z_(1) = 4 -I and z_(2) = - 3 + 7i then find (i) z_(1) +z_(2) (ii) z_(1) -z_(2)

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)

If z_(1) = 6 + 9i and z_(2) = 5 + 2i then find z_(1)/z_(2)

if z_(1) =-1 + 3i and z_(2)= 2 + i then find 2(z_(1) +z_(2))

if z_(1) =2+3i and z_(2) = 1+i then find, |z_(1)+z_(2)|

If z_(1) = 2 - i , z_(2) = 1 + i , " find " |(z_(1) + z_(2) + 1)/( z_(1) -z_(2) + 1)|

If z_(1) = 3+ 2i and z_(2) = 2-i then verify that (i) bar(z_(1) + z_(2)) = barz_(1) + barz_(2)

If z_(1)=3 -2i ,z_(2) = 2-i and z_(3) = 2+ 5i then find z_(1) + z_(2) - 2z_(3)

if z_(1) = 3-i and z_(2) = -3 +i, then find Re ((z_(1)z_(2))/(barz_(1)))

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1) + z_(2)| le |z_(1)| + |z_(2)|