Equation of Family of Circles Passing through Two Points

Q.

Find the equation of circle circumscribing the quadrilateral formed by four lines $3x+4y-5=0$, $4x-3y-5=0$, $3x+4y+5=0$ and $4x-3y+5=0$

1. $x^2+y^2=0$

2. $x^2+y^2=2$

3. $x^2+y^2=25$

4. $x^2+y^2=4$

Q. The radius of the circle passing through the points (1, 2), (5, 2) & (5, -2) is

1. $2\sqrt{2}$
2. $2\sqrt{5}$
3. $3\sqrt{2}$
4. $5\sqrt{2}$

Q. Find the value $\left(s\right)$ of $p$ so that the equation $x^2+y^2-2px+4y-12=0$ may represent a circle of radius $5$ units.