1) Using the equation find a, b, x1 and y1​

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1) Using the equation find a, b, x1 and y1​

1 Answer

2

Answer:

  • (x₁, y₁) = (2, 1)
  • a = 4, b = 2

Step-by-step explanation:

The standard form equation of a hyperbola is

\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1

Here:

  • center (x₁, y₁) = (h, k)
  • 'a' is semi-axis and 'b' is semi-conjugate axis 'b'

Given the equation

\frac{\left(x-2\right)^2}{4^2}-\frac{\left(y-1\right)^2}{2^2}=1

comparing with the  standard form equation of a hyperbola

(x₁, y₁) = (h, k) = (2, 1)

a = 4, b = 2

Therefore,

  • (x₁, y₁) = (2, 1)
  • a = 4, b = 2
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Westley Pagac
15.5k 3 10 26
answered 9 months ago