Parametric Equation of a Circle

Q.

Find the parametric equation of the circle $x^2+y^2-2x+4y-11=0$

1. $x=-2+4cos\theta andy=+4+4cos\theta$

2. $x=-2+4cos\theta andy=+4+4cos\theta$

3. $x=-1+4cos\theta andy=+2+4sin\theta$

4. $x=1+4cos\theta andy=-2+4sin\theta$

Q.

A circle with centre at the origin and radius equal to a meets the axis of x and A and B. $P\left(\alpha \right)$ and $Q\left(\beta \right)$ are two points on this circle so that $\alpha -\beta =2\gamma$, where $\gamma$ is a constant. The locus of the point of intersection of AP and BQ is

1. 
2. 
3. 
4.