Find the Y-Intercept of the Tangent to the Ellipse $x ^ { 2 } + 3 y ^ { 2 } = 1$

question 134

Multiple Choice

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

• A)3
• B) \(\frac { - 1 } { \sqrt { 3 } }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(- \frac { 1 } { 3 }\)
• E) \(- 1\)
• F) \(- 3\)
• G) \(\frac { 1 } { \sqrt { 3 } }\)
• H) \(\frac { 2 } { 3 }\)

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