Question

120
worrow
Gl is tx - 2kg +15=0 passes to the
point 3-1 what is the value oft​

Answer 1

Equation of circle is

x 2 +y

2 −8x−12y+15=0

On comparing that,

x 2 +y 2

+2gx+2fy+c=0

So,

(g,f)=(−4,−6)

(−g,−f)=(4,6)=(h,k)

Now, it passes through the point (5,4)

So, equation of circle is,

(x−h)

2 +(y−k) 2 =r 2

⇒(x−4) 2 +(y−6) 2 =( 5​) 2

⇒x 2 +16−8x+y 2+36−12y=25

⇒x2 +y 2 −8x−12y+52=25

⇒x 2 +y 2

−8x−12y+27=0

Hence, this is the answer.