Question

The curve $y^2(10-x)=x^3$ is symmetric about

• A. $x$-axis
• B. $y$-axis
• C. $y=x$
• D. All of the above

Answer 1

The correct option is A $x$-axis

We have,
$y^2(10-x)=x^3$
$\Rightarrow f(x,-y)=f(x,y)$
$\therefore$ Symmetric about $x-$axis
$f(-x,y)\ne f(x,y)$
$\therefore$ Not symmetric about $y-$axis
$f(x,y)\ne f(y,x)$
$\therefore$ Not symmetric about $x=y$