What is the rectangular form of the polar equation. 0=r^2 + rsinΘ?

Question

1. 0=x^2 + y^2 - x 
2. 0=x^2 + y^2 + x 
3. 0=x^2 + y^2 - y 
4. 0=x^2 + y^2 + y 

Θ=theta

Answer 1

The point P lies in the rectangular coordinate system and its coordinates P = (x, y).

The point P lies in the polar coordinate system and its coordinates P = (r, θ).

The relation between rectangular coordinate system and polar coordinate system as follows:

x = r cos(θ), y = r sin(θ) and r² = x² + y².

The polar equation is 0 = r² + r sin(θ).

The rectangular equation is 0 = x² + y² + y.

The option 4 is correct answer.