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Question

# Determine whether the statement is true or false. Justify your answer.The graph of $x^2+4y^4-4=0$ is an ellipse.

Solution

Verified
Step 1
1 of 3

Given:

$x^2+4y^4-4=0$

We need to determine whether the given equation belongs to an ellipse.

Standard form of the equation of an ellipse ($0):

\begin{aligned} \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}&=1 &\textcolor{#4559AC}{\text{Horizontal major axis}} \\ \frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}&=1 &\textcolor{#4559AC}{\text{Vertical major axis}} \end{aligned}

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