The equation of the asymptote is y = 3x - 5. The correct answer is option C
<h3>What is Asymptote of an Hyperbola ?</h3>The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is
From the given equation of hyperbola, which is
-
= 1
The center (h , k) of the hyperbola = C(2, 1)
a = 2
b = 6
Where C =
C =
C =
C =
The equation of the asymptote will be y - K = +/-(b/a)(x - h)
That is,
y - 1 = +/-(6/2)(x - 2)
y - 1 = +/-3(x - 2)
y - 1 = +/-3x - 6
y = +/-3x - 6 + 1
y = +/- 3x - 5
Therefore, the equation of the asymptote is y = 3x - 5.
Learn more about Asymptote here: brainly.com/question/4138300
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