Power of a Point

Q.

The power of P(1, 2) with respect to the circle $x^2+y^2+4x+2y+3$ = 0 is double the power of P with respect to $x^2+y^2+2x+y+k$ = 0 then the value of k is

1. 1

2. 0

3. -1

4. 4

Q. If $\tan A,\tan B,\tan C$ are the roots of the equation $x^3-3x^2-2x+1=0,$ then the value of ${\sin }^2(A+B+C)+\sin (A+B+C)\cos (A+B+C)$ is

1. $\frac{4}{5}$
2. $0$
3. $\frac{28}{25}$
4. $\frac{13}{21}$