Question

The equation $r=a\sin \theta$, can be represented in cartesian coordinate system as

• A. $x^2+y^2=ax$
• B. $x^2+y^2=ay$
• C. $x+y=axy$
• D. none of these

Answer 1

Answer: (B)

$x^2+y^2=ay$

We know that $r^2=x^2+y^2,y=r\sin \theta$
Given $r=a\sin \theta$
$\Rightarrow r=a\frac{y}{r}$
$\Rightarrow r^2=ay$
$\Rightarrow x^2+y^2=ay$