Determine Whether the Statement Is True or False? Justify Your $x ^ { 2 } + x y + k y ^ { 2 } + 12 x + 16 = 0$

question 21

Multiple Choice

Determine whether the statement is true or false? Justify your answer. ​
The graph of the equation $x ^ { 2 } + x y + k y ^ { 2 } + 12 x + 16 = 0$ where, $k$ is any constant less than $\frac { 1 } { 4 }$ ,is a hyperbola.
​

• A)False.For the graph to be a hyperbola,the discriminant must be less than zero.
• B)True.For the graph to be a hyperbola,the discriminant must be greater than zero.

---

Definitions:

Stimulus-response Presentation

A method used in various fields such as psychology and marketing to describe how a specific stimulus can lead to a particular response.

Consultative Selling

A need-satisfaction presentation format that focuses on problem identification, where the salesperson serves as an expert on problem recognition and resolution.

Formula Selling Presentation

A structured sales technique that follows a predetermined script or guidelines to present a product or service to potential customers.

Canned Sales Presentation

A pre-prepared sales pitch or presentation that is designed to be used for multiple customers without significant modification.