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What is the center of the hyperbola x2x^2 - y2 y^2 = 99 ?\newline(_,_)(\_,\_)

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Q. What is the center of the hyperbola x2x^2 - y2 y^2 = 99 ?\newline(_,_)(\_,\_)
  1. Write Equation: Write the given equation of the hyperbola.\newlineThe given equation is x2−y2=9x^2 - y^2 = 9.
  2. Standard Form: Rewrite the equation in standard form.\newlineTo find the center, we need to express the equation in the form (x−h)2/a2−(y−k)2/b2=1(x - h)^2/a^2 - (y - k)^2/b^2 = 1, where (h,k)(h, k) is the center of the hyperbola. The given equation is already similar to the standard form, with a2=9a^2 = 9 and b2=9b^2 = 9. There are no terms to translate the hyperbola left or right, up or down, so h=0h = 0 and k=0k = 0.
  3. Identify Center: Identify the center of the hyperbola.\newlineSince there are no hh and kk values in the equation, the center of the hyperbola is at the origin (0,0)(0, 0).

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