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question 6 of 10 how many foci does the graph of a hyperbola have? a. 0…

Question

question 6 of 10

how many foci does the graph of a hyperbola have?

a. 0
b. 1
c. 2
d. 3

Explanation:

Identify the definition of a hyperbola

A hyperbola is defined geometrically as the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points is constant.

Determine the number of foci

The two fixed points in the definition of a hyperbola are called its foci. Therefore, every hyperbola has exactly 2 foci.

Answer:

  • (A) 0
  • (B) 1
  • (C) 2 (Correct answer)
  • (D) 3