Find the Points at Which the Graph of the Equation $$5 x ^ { 2 } + 4 y ^ { 2 } - 10 x + 24 y + 8 = 0$$

question 63

Multiple Choice

Find the points at which the graph of the equation has a vertical or horizontal tangent line. $$5 x ^ { 2 } + 4 y ^ { 2 } - 10 x + 24 y + 8 = 0$$

• A) There is a vertical tangent at \(y = - 3\) but no horizontal tangents.
• B) There is a horizontal tangent at \(x = 1\) and a vertical tangent at \(y = - 3\).
• C) There is a horizontal tangent at \(x = 1\) but no vertical tangents.
• D) There is a horizontal tangent at \(x = - 2\) and a vertical tangent at \(y = - 2\)
• E) There are no horizontal or vertical tangent lines.

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