Question

Length of tangent from a point P to circle x2 + y2 = 6 is twice the length of the tangent from P to the circle
x2 + y2 + 3x + 3y = 0, then locus of the point Pis:​

Answer 1

Answer:

Length of Tangent from a Point (a,b) to a Circle x

2

+y

2

+2gx+2fy+c=0

is L=

a

2

+b

2

+2ga+2fb+c

So, According to Question

f

2

+g

2

−6

=2

f

2

+g

2

+3f+3g

⇒f

2

+g

2

−6=4(f

2

+g

2

+3f+3g)

⇒3f

2

+3g

2

+12f+12g+6=0

⇒f

2

+g

2

+4f+4g+2=0