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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Definitions:

Equity Method

An accounting technique used by companies to record investments in other companies, where the investment is initially recorded at cost and adjusted for the investor's share of the investee's profit or loss.

Non-Controlling Interest

The portion of equity in a subsidiary not owned by the parent company, reflecting minority shareholders' stake in the entity's net assets.

Equity Method

An accounting technique used to record investments in other companies, where the investment's value is adjusted based on the investor's share of the investee's profit or loss.

Acquisition Differential

The difference between the cost of acquiring a company and the sum of the fair market values of the identifiable assets acquired minus liabilities assumed.