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What is the center of the hyperbola x2−y2=25x^2 - y^2 = 25?\newline(_,_)(\_,\_)

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Q. What is the center of the hyperbola x2−y2=25x^2 - y^2 = 25?\newline(_,_)(\_,\_)
  1. Write Equation: Write the given equation of the hyperbola.\newlineThe given equation is x2−y2=25x^2 - y^2 = 25.
  2. Convert to Standard Form: Convert the equation to the standard form of a hyperbola.\newlineTo convert the equation to the standard form, we need to express it 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. Since there are no terms involving hh and kk, we can assume that h=0h = 0 and k=0k = 0. Therefore, the equation is already in the standard form with a2=25a^2 = 25 and b2=25b^2 = 25.
  3. Identify Center: Identify the center of the hyperbola.\newlineFrom the standard form, we can see that the center (h,k)(h, k) is (0,0)(0, 0).

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