Question 1. What is the definition of a hyperbola?
Question 2. What is the centre of a hyperbola, vertices, and foci?
Question 3. What are the semiaxes of a hyperbola?
Question 4. Formulate the standard equation of hyperbola with centre at the origin and semiaxes a, and b.
Question 5. Formulate the standard equation of hyperbola with centre and semiaxes a and b.
Question 6. What are focal lines of a point located on a hyperbola?
Question 7. What is the chord of a hyperbola?
Question 8. What are asymptotes of a hyperbola?
Question 9. Classify the superposition of a line and a hyperbola.
Question 10. Define a tangent line to a hyperbola.
Question 11. How many tangent lines can be drawn through an exterior point to a hyperbola, and how the tangent points can be found?
Question 12. How many tangent lines can be drawn in a given direction to a hyperbola, and how the tangent points can be found?
Question 13. Formulate the equation of a tangent line to a hyperbola.
Question 14. How to calculate coordinates of tangent point on a tangent line to a hyperbola provided the two are given by their equations?
Question 15. How to calculate coordinates of pierce points of a line and a hyperbola given by their equations?