Find the Tangent Line to the Ellipse $\frac{x^{2}}{24}+\frac{y^{2}}{6}=1$ At the Point $(2,-\sqrt{3})$

question 53

Multiple Choice

Find the tangent line to the ellipse $\frac{x^{2}}{24}+\frac{y^{2}}{6}=1$ at the point $(2,-\sqrt{3})$ .

• A) \(y=\frac{\sqrt{3}}{3} x-4\)
• B) \(y=\frac{\sqrt{3}}{6} x-\frac{4 \sqrt{3}}{3}\)
• C) \(y=-\sqrt{6} x-3\)
• D) \(y=\sqrt{3} x-4\)
• E) \(\text { None of these }\)

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