a) If \( z_1 = r_1(\cos \theta_1 + i\sin \theta_1) and z_2… – Class 12 Mathematics 2080 Solved

Class 12 Mathematics · 2080 · Solved Question with Answer

a) If \( z_1 = r_1(\cos \theta_1 + i\sin \theta_1) and z_2 = r_2(\cos \theta_2 + i\sin \theta_2) \)

i) What is the argument of \( z_1z_2? \)

ii) What is the modulus of \( z_1z_2? \)

iii) What is the polar form of\( z_1z_2? \)

b) In the expansion of \( (1 + 2x + x^2)^{50} \) answer the following:

i) Write the total number of terms in the expansion.

ii) Write the middle term in the expansion.

Solution

a) If \( z_1 = r_1(\cos \theta_1 + i\sin \theta_1) and z_2 = r_2(\cos \theta_2 + i\sin \theta_2) \) i) What is the argument of \( z_1z_2? \) ii) What…