Algebraic Operations on Complex Numbers MCQ Quiz in తెలుగు - Objective Question with Answer for Algebraic Operations on Complex Numbers - ముఫ్త్ [PDF] డౌన్లోడ్ కరెన్
Last updated on Apr 23, 2025
Latest Algebraic Operations on Complex Numbers MCQ Objective Questions
Algebraic Operations on Complex Numbers Question 1:
Z1 = 4i40 - 5i35 + 6i17 + 2, Z2 = -1 + i,
Answer (Detailed Solution Below)
Algebraic Operations on Complex Numbers Question 1 Detailed Solution
సిద్ధాంతం:
i4k = 1, i4k+1 = i, i4k+2 = - 1, i4k+3 = - i, ఇక్కడ k ∈ ℤ
గణన:
ఇచ్చినవి, Z1 = 4i40 - 5i35 + 6i17 + 2
= 4i4(10) - 5i(4(8)+3) + 6i(4(4)+1) + 2
= 4(1) - 5(- i) + 6(i) + 2
= 4 + 5i + 6i + 2
= 6 + 11i
అలాగే, Z2 = -1 + i
∴ |Z1 + Z2|
= |6 + 11i - 1 + i|
= |5 + 12i|
=
= 13
∴ |Z1 + Z2| విలువ 13.
సరైన సమాధానం 2వ ఎంపిక.
Top Algebraic Operations on Complex Numbers MCQ Objective Questions
Algebraic Operations on Complex Numbers Question 2:
Z1 = 4i40 - 5i35 + 6i17 + 2, Z2 = -1 + i,
Answer (Detailed Solution Below)
Algebraic Operations on Complex Numbers Question 2 Detailed Solution
సిద్ధాంతం:
i4k = 1, i4k+1 = i, i4k+2 = - 1, i4k+3 = - i, ఇక్కడ k ∈ ℤ
గణన:
ఇచ్చినవి, Z1 = 4i40 - 5i35 + 6i17 + 2
= 4i4(10) - 5i(4(8)+3) + 6i(4(4)+1) + 2
= 4(1) - 5(- i) + 6(i) + 2
= 4 + 5i + 6i + 2
= 6 + 11i
అలాగే, Z2 = -1 + i
∴ |Z1 + Z2|
= |6 + 11i - 1 + i|
= |5 + 12i|
=
= 13
∴ |Z1 + Z2| విలువ 13.
సరైన సమాధానం 2వ ఎంపిక.