Home
Class 12
MATHS
The circles x^2 + y^2 - 4x - 81 =0 and x...

The circles `x^2 + y^2 - 4x - 81 =0 and x^2 + y^2 + 24x - 81=0` intersect each other at `A and B`. The equation of the circle with `AB` as the diameter is : (A) `x^2 + y^2 = 81` (B) `x^2 + y^2 = 9` (C) `x^2 + y^2 = 16` (D) `x^2 + y^2 = 1`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

Factorise : 4x^2 - 81 y^2

The line 2x -y +6= 0 meets the circle x^2+y^2 -2y-9 =0 at A and B. Find the equation of the circle on AB as diameter.

The circles x^(2)+ y^(2) -6x-2y +9 = 0 and x^(2) + y^(2) =18 are such that they :

The circle x^2+y^2=4 cuts the circle x^2+y^2+2x+3y-5=0 in A and B , Then the equation of the circle on AB as diameter is

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such that

The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Show that the equation of the circle with AB as diameter is x^(2)+y^(2)-x-y=0 .

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0