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The distance from the center of the circ...

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`

Text Solution

Verified by Experts

The correct Answer is:
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`
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CENGAGE PUBLICATION-CIRCLE -Excercises (Single Correct Answer Type)
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