All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If z = -2 + 2i, what is the value of |z|? (2019)
If z = -2 + 2i, what is the value of |z|? (2019)
Expand All
Collapse All
Practice Questions
1 question
Q1
If z = -2 + 2i, what is the value of |z|? (2019)
2√2
4
2
√2
Show Solution
Copy
|z| = √((-2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.
Questions & Step-by-step Solutions
1 item
Q
Q: If z = -2 + 2i, what is the value of |z|? (2019)
Solution:
|z| = √((-2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.
Steps: 9
Show Steps
Step 1: Identify the complex number z. Here, z = -2 + 2i.
Step 2: Recall the formula for the magnitude (or absolute value) of a complex number z = a + bi, which is |z| = √(a^2 + b^2).
Step 3: In our case, a = -2 and b = 2.
Step 4: Substitute a and b into the formula: |z| = √((-2)^2 + (2)^2).
Step 5: Calculate (-2)^2, which is 4.
Step 6: Calculate (2)^2, which is also 4.
Step 7: Add the results from Step 5 and Step 6: 4 + 4 = 8.
Step 8: Take the square root of 8: |z| = √8.
Step 9: Simplify √8 to 2√2.
Related Questions
F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
W
What is the value of (3 + 5) × (2 - 1)? (2020)
Question: What is the value of (3 + 5) × (2 - 1)? (2020)Options: 816106Correct Answer: 8Solution: (3..
W
What is the square root of 64? (2020)
Question: What is the square root of 64? (2020)Options: 6789Correct Answer: 8Solution: The square ro..
C
Calculate the value of 12 × 8 - 24. (2021)
Question: Calculate the value of 12 × 8 - 24. (2021)Options: 72964860Correct Answer: 72Solution: 12 ..
W
What is the result of (15 + 5) × 2? (2023) 2023
Question: What is the result of (15 + 5) × 2? (2023) 2023Options: 30402025Correct Answer: 30Exam Yea..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
