Find an Equation of the Set of All Points Equidistant $A ( 3 , - 4 , - 5 )$

question 54

Multiple Choice

Find an equation of the set of all points equidistant from the points $A ( 3 , - 4 , - 5 )$ and $B ( - 4,2 , - 10 )$

• A) \[7 x - 6 y + 5 z = - 35\]
• B) \(7 x - 6 y + 5 z = - 35\)
• C) \(7 x - 6 y + 5 z = 35\)
• D) \(7 x - 6 y = 0\)
• E) \(- 7 x - 6 y + 5 z = - 35\)

---

Definitions:

Economic Depression

A long-term downturn in economic activity characterized by high unemployment, low consumer spending, and business failures.

Financial Capitals

Cities that serve as major hubs for financial services, banking, and investment, impacting global finance.

Population Increase

The growth in the number of individuals within a population, often attributed to factors like higher birth rates and lower mortality rates.

Birth Rate

The quantitative measure of the number of births in a given population, area, or period, usually expressed per 1000 individuals per year.