Question

The distance from the center of the circle `x^2+y^2=2x` to the common chord of the circles `x^2+y^2+5x-8y+1=0` and `x^2+y^2-3x+7y-25=0` is 2 (b) 4 (c) `(34)/(13)` (d) `(26)/(17)`
A. 2
B. 4
C. `34//13`
D. `26//17`

Answer 1

Correct Answer - 1
The center of the circle `x^(2)+y^(2)=2x` is (1,0).
The common chord of the other two circle is
`8x-15y+26=0`
The distance from (1,0) to `8x-15y+26=0` is
`(|8+26|)/(sqrt(15^(2)+8^(2)))=2`