The equation of the directrix to the right of the center is equal to 2.8.
Given the following data:
(x - 1)²/9 - (y - 2)²/16 = 1.
Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:
x = h ± a²/√(a² + b²)
Where:
Substituting the given parameters into the standard equation, we have;
x = 1 ± a²/√(a² + b²)
x = 1 ± 9/√(9 + 16)
x = 1 ± 9/√25
x = 1 ± 9/5
x = 1 + 9/5
x = 1 + 1.8
x = 2.8.
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