Identify the Vertices and Co-Vertices of the Ellipse $25 x ^ { 2 } + 16 y ^ { 2 } - 9 = 0$

question 31

Multiple Choice

Identify the vertices and co-vertices of the ellipse $25 x ^ { 2 } + 16 y ^ { 2 } - 9 = 0$ .

• A)vertices: \(\left( 0 , - \frac { 3 } { 4 } \right) , \left( 0 , \frac { 3 } { 4 } \right)\) co-vertices: \(\left( - \frac { 3 } { 5 } , 0 \right) , \left( \frac { 3 } { 5 } , 0 \right)\)
• B)vertices: \(\left( - \frac { 5 } { 3 } , 0 \right) , \left( \frac { 5 } { 3 } , 0 \right)\) co-vertices: \(\left( 0 , - \frac { 4 } { 3 } \right) , \left( 0 , \frac { 4 } { 3 } \right)\)
• C)vertices: \(\left( 0 , - \frac { 4 } { 3 } \right) , \left( 0 , \frac { 4 } { 3 } \right)\) co-vertices: \(\left( - \frac { 5 } { 3 } , 0 \right) , \left( \frac { 5 } { 3 } , 0 \right)\)
• D)vertices: \(( - 5,0 ) , ( 5,0 )\) co-vertices: \(( 0 , - 4 ) , ( 0,4 )\)
• E)vertices: \(( 0 , - 4 ) , ( 0,4 )\) co-vertices: \(( - 5,0 ) , ( 5,0 )\)

---

Definitions:

Private Modifiers

Keywords in object-oriented programming languages used to restrict access to members of a class (such as variables or methods) from outside the class.

Instance Variables

Variables defined in a class for which each instantiated object of the class has its own separate copy, or instance.

Mutator Methods

Methods designed to set or modify the values of an object's attributes while keeping the encapsulation principle intact.

Integer Values

Whole numbers that can be positive, negative, or zero, not including decimals or fractions.