The center of $2 x ^ { 2 } - 4 x + y ^ { 2 } - 10 = 0$ is not at the origin.

Name: The center of $2 x ^ { 2 } - 4 x + y ^ { 2 } - 10 = 0$ is not at the origin.
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Question

Quizplus · Accepted Answer

The given equation can be written as $\dfrac{x^2}{(\sqrt{5})^2} - \dfrac{2x}{\sqrt{5}} + \dfrac{y^2}{2^2} = 1$, which represents an ellipse centered at $\left(\dfrac{2}{\sqrt{5}},0\right)$. Since the center is not at the origin, the statement is true.

The Center Of 2x2−4x+y2−10=02 x ^ { 2 } - 4 x + y ^ { 2 } - 10 = 02x2−4x+y2−10=0

The Center Of $2 x ^ { 2 } - 4 x + y ^ { 2 } - 10 = 0$