Question
What is the primary advantage of using Normalization in
a database design?Solution
Normalization is the process of organizing a relational database in such a way that it reduces redundancy and eliminates undesirable characteristics like insertion, update, and deletion anomalies. The goal of normalization is to ensure that:
- Data redundancy is minimized, which reduces storage costs and prevents inconsistent data.
- Data dependency is minimized by breaking down large tables into smaller, manageable ones and linking them via foreign keys.
- A is incorrect because normalization does not necessarily reduce the number of tables but instead organizes data across multiple tables more effectively.
- B is incorrect because normalization is aimed at reducing redundancy and improving data integrity, not increasing redundancy. It might slightly decrease query performance due to the increase in joins between tables.
- D is incorrect because normalization might not directly improve query performance; it can actually slow it down due to the increased number of joins.
- E is incorrect because, while normalization introduces some complexity in the schema (due to the use of foreign keys), its primary goal is not to increase complexity but to organize data in a way that reduces redundancy and dependency.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 82x + 80 = 0
Equation 2: 23y² - 132y + 85 = 0
I. 4x² - 21x + 20 = 0
II. 8y² - 22y + 15 = 0
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
...I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 6x² - 24x + 18 = 0
Equation 2: 5y² - 20y + 15 = 0
I. 2 x² - 15 + 18 = 0
II. x²- 3 + 2 = 0
...I. 12x2 - 55x + 63 = 0
II. 10y2 - 47y + 55 = 0
l). p² - 26p + 153 = 0
ll). q² - 17q + 72 = 0
If x2Â - 3x - 18 = 0 and y2Â + 9y + 18 = 0, which of the following is true?
I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0