Using Following Result Find a Set of Parametric Equation of Conic

question 19

Multiple Choice

Using following result find a set of parametric equation of conic. ​
Hyperbola: $x = h + a \sec \theta , y = k + b \tan \theta$ ​
Hyperbola: vertices: $( \pm 4,0 )$ ;foci: $( \pm 5,0 )$ ​

• A) \(x = 5 + 4 \sec \theta , y = 5 + 3 \tan \theta\)
• B) \(x = 4 \sec \theta , y = 3 \tan \theta\)
• C) \(x = 5 - 4 \sec \theta , y = 3 \tan \theta\)
• D) \(x = 3 \sec \theta , y = 4 \tan \theta\)
• E) \[x = 5 \sec \theta , y = 4 \tan \theta\]

---

Definitions:

Dialectical Thinking

A method of thought involving the exploration and integration of contradictory perspectives or ideas.

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment, characterized by skepticism and logical reasoning.

Algorithm

A step-by-step procedure or formula for solving a problem.

Heuristic

A mental shortcut that allows people to solve problems and make judgments quickly and efficiently.