Power of a Point

Q.

The power of (2, 1) with respect to the circle $2x^2+2y^2-8x-6y+k$ = 0 is positive if

1. 0<k<12

2. -12<k<12

3. k>12

4. k<12

Q.

Find the value of λ if the point (3, 5) lies inside the circle $x^2+y^2+6x+\lambda y+5=0$

1. λ< 5

2. λ<-57/5

3. λ>5

4. λ<11

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