Home
Class 12
MATHS
Prove that the radii of the circles x^(2...

Prove that the radii of the circles `x^(2)+y^(2)=1,x^(2)+y^(2)-2x-6y=6andx^(2)+y^(2)-4x-12y=9` are in AP.

Text Solution

Verified by Experts

The correct Answer is:
Hence, `r_(1),r_(2),r_(2)` are in AP.
Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the centres of the circles x^2+y^2=1 , x^2+y^2+6x-2y-1=0 and x^2+y^2-12x+4y=1 are collinear

The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)=9 is

The radical axis of the circles x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(2)-10x-6y+14=0 is

The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 and x^(2)+y^(2)-5 x+5 y-6=0 is

The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(2)-5 x+5 y-6=0 is

Length of the common chord of the circles : x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0 is :

Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 -2x -2y =5 and x^2+y^2 +4x + 6y =19 are :

The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

Find the centre of the circle 3x^2+3y^2-6x-12y-2=0