Through (2,1) and (3.5) and having its center on the line 8x+5y=8

Flambergru

Flambergru

Answered question

2022-08-05

Through (2,1) and (3.5) and having its center on the line 8x+5y=8

Answer & Explanation

Ben Logan

Ben Logan

Beginner2022-08-06Added 13 answers

let eqn is
x 2 + y 2 + 2 g x + 2 f y + C = 0Copy
putting(2,1) & (3,5)
5+4g +2f + C =0
34+6g +10f +C =0
2g + 8f =-29
And centre lies on 8x +5y =8
-8g -5f =8
solving this
f=-4 , g=-1.5
C =9
So eqn is
x 2 + y 2 3 x 8 y + 9 = 0 (ans)

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