Advertisements
Advertisements
प्रश्न
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
z2 + 2zw + w2
उत्तर
z2 + 2zw + w2 = (z + w)2 ......[from (i)]
= (4 + i)2
= 16 – 1 + 8i
= 15 + 8i
APPEARS IN
संबंधित प्रश्न
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
z + w
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
z – iw
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
2z + 3w
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
zw
Evaluate the following if z = 5 – 2i and w = – 1 + 3i
(z + w)2
Given the complex number z = 2 + 3i, represent the complex numbers in Argand diagram
z, iz and z + iz
Given the complex number z = 2 + 3i, represent the complex numbers in Argand diagram
z, – iz and z – iz
Find the values of the real numbers x and y, if the complex numbers
(3 – i)x – (2 – i)y + 2i + 5 and 2x + (– 1 + 2i)y + 3 + 2i are equal
Choose the correct alternative:
The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand’s diagram is
Choose the correct alternative:
z1, z2 and z3 are complex numbers such that z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1 then `z_1^2 + z_2^2 + z_3^2` is
