CLASS XI COMPLEX NUMBER DPP 1
COMPLEX NUMBER
IMPORTANT QUESTION
1. Find the value of x+y If x+iy = i²⁰²¹ + i²⁰²² + i²⁰²³ + i²⁰²⁴
2. If (1+i) ²⁰²⁴ / 2¹⁰¹² = x+iy find the value of x-y
3. If (1+i / 1-i + 1-i / 1+i) = x+iy find x*y
4. If z= √2+i√3 find the value of z.z̄
5. find x+y, If i⁹⁹ + i¹⁰⁰ + i¹⁰¹ + .....+ i¹⁹⁹ = x+iy
6. If z₁ = 2+3i / 1-5i , z₂ = 5-i / 3-2i , find |z₁.z₂|
7. find the Re(z), If z = (1+2i)(2-3i)
8. If z = i-1 / cosπ/3 + i sin π/3 find modulus of z
9. find the modulus of w = (1+ cos 2π/3 + i sin 2π/3)
10. find the value of x+y, If (2x-3) + i(y-4) = 3+4i
11. find the least +ve value of n such that (1+i / 1-i)ⁿ = 1.
12. find the value of √-1 x √-4 x √-9 x √-25
13. find the argument of z = -cos π/3 - i sin π/4
14. If z = 3-12i , find the value of |z+2|
15. If z = -6+13i , find the value of |z-5i|
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