Download Q.1. If z=3-9i and w=-i , then find z+w and zw Q.2. If z=8-2i and w=

Q.1. If z=3-9i and w=-i , then find z+w and z-w
Q.2. If z=8-2i and w=-3i , then find the modulus of the complex number zw
Q.3. If z=1-3i and w=i , then find the argument of the complex number zw
Q.4. What is the polar form of the complex number 3-3i?
Q.5. What is the polar form of the complex number 1-3i?
Q.6. If z=-5+2i and z* is its conjugate, then find zz*
Q.7. If z=-9-i and z* is its conjugate, then find z-z*
Q.8. If z=2+7i and z* is its conjugate, then find modulus of z+z*
Q.9. Find the roots of the given equation:
Q.10. Find the roots of the given equation:
Q.11. Find the roots of the given equation:
Q.12. Illustrate the sum of the given complex numbers geometrically
Q.13. If z=-2+3i, then find its conjugate z* geometrically
Q.14. Write 1+√
in polar form and then multiply it by 2(
.Write the product in
polar form.
Q.15. What is the midpoint of the line segment joining the two points 10+i and 2-3i
Q.16. If z=-2-2i and w=7-3i, then find the modulus of the complex number z+w
Q.17. Write z=1+i and w=3+i in polar form and find zw
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Q.18. Illustrate the difference (z-w) of the given complex numbers geometrically
Q.19. If z=2+5i and z* is its conjugate, then find modulus of z-z*
Q.20. Write the complex number z=i in polar form
Answers:
A.1. z+w=3-10i and z-w=3-8i
A.2. 612
A.3.
A.4. 23(
A.5. 2(
A.6. 29
A.7. -2i
A.8. 4
A.9. 5i,-5i,6,-6
A.10. 22i, 22i,3,-3
A.11. 0,9i,-9i
A.12.
Point R(-5,0) represents the sum,z+w=-5+0i
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A.13.
z*=-2-3i
A.14. 4(
A.15. 6-i
A.16. 52
A.17. 22(
A.18.
Point R (-2,-1) represents the difference z-w
A.19. 25
A.20. 1(
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