Identify the graph of the nondegenerate conic sections: 4x^2 - 25y^2 - 24x + 250y - 489 = 0.

Tahmid Knox 2020-11-01 Answered
Identify the graph of the nondegenerate conic sections: \(4x^2 - 25y^2 - 24x + 250y - 489 = 0\).

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Expert Answer

Aniqa O'Neill
Answered 2020-11-02 Author has 12667 answers

Consider the provided equation, \(4x^2 - 25y^2 - 24x + 250y - 489 = 0\). Compare with the provided equation \(Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0\) So, here we get, \(A = 4 \text{ and } C = -25\)
\(AC = 4(-25)\)
\(= -100\)
\(= -100 < 0\) Because the \(AC < 0\) Therefore, the greph of the equation is hyperbola.

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