The equation of the circle which touches...

The equation of the circle which touches both axes and whose centre is `(x_(1), y _(1))` is

A

`x^(2) +y^(2) + 2x_(1) (x+y) + x_(1)^(2)= 0`

B

`x^(2) +y^(2)- 2x_(1) (x+ y) + x_(1)^(2)= 0`

C

`x^(2) + y^(2) =x_(1)^(2) + y_(1)^(2)`

D

`x^(2) +y^(2) + 2 x x_(1) + 2y y_(1)= 0`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The equation of the circle which touches both the axes and whose radius is a, is

Find the equation of a circle which touches the X-axis and whose centre is (1,2).

Find the equation of a circle which touches the Y-axis and whose centre is (3,0).

Find the equation of the circle which touches both the axes and the line x=c

The equations of the circles which touch both the axes and the line x = a are

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3

Show that the equation of the circle which touches the coordinates axes whose centre lies on the line lx+my+n=0 is (l+m)^(2)+2n(x+y)+n^(2)=0

Find the equation of a circle which touches both the axes and whose radius is 2 units