Question

determine if $2x^2 + y^2 = 1$ is an ellipse.
\bigcirc not an ellipse
\bigcirc ellipse, we can write the equation of the ellipse in standard form $\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1$.
where:
$h = \square$
$k = \square$
$a = \square$
$b = \square$
question help: \video video 1 \video video 2 \message message instructor
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Explanation:

Step1: Analyze the given equation

The general equation of an ellipse is a second - degree equation in \(x\) and \(y\) of the form \(Ax^{2}+Bxy + Cy^{2}+Dx + Ey+F = 0\) with \(B^{2}-4AC<0\). The given equation is \(-2x + y=1\) or \(y = 2x+1\), which is a first - degree (linear) equation in \(x\) and \(y\).

Answer:

Not an Ellipse