Question

Use the test for symmetry to determine if the graph of $xy-5x^2=4$ is symmetric about the origin.

• A. Symmetric about the origin
• B. Not symmetric about the origin
• C. Symmetric about x, y axis
• D. None of these

Answer 1

The correct option is A Symmetric about the origin

If $f(x,y)=f(-x,-y)$, then $f\left(x\right)$ is symmetry about origin.

$f(x,y)=xy-5x^2-4$

$f(-x,-y)=(-x)(-y)-5(-x{)}^2-4$

$f(-x,-y)=xy-5x^2-4$

Hence, $f\left(x\right)$ is symmetry about origin