Home
Class 12
MATHS
The points of intersection of the two el...

The points of intersection of the two ellipses `x^2+2y^2-6x-12y + 23 = 0 and 4x^2 + 2y^2-20x-12y + 35 = 0`

A

lie on a circle centred at `(8"/"3, 3)` and of radius `(1)/(3)sqrt((47)/(2))`

B

lie on a circle centred at `(–8"/"3, 3)` and of radius `(1)/(3)sqrt((47)/(2))`

C

lie on a circle centred at (8, 9) and of radius `(1)/(3)sqrt((47)/(2))`

D

are not cyclic

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The points of intersection of the two ellipses x^(2)+2y^(2)-6x-12y+23=0 and 4x^(2)+20^(2)-20x-12y+35=0

The equation of the line passing through the points of intersection of the circles 3x^(2)+3y^(2)-2x+12y-9=0 and x^(2)+y^(2)+6x+2y-15=0

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)-10x-12y+40=0 and whose radius is 4.

The points of intersection of the line 4x-3y-10=0 and the circle x^(2)+y^(2)-2x+4y-20=0 are

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0 , x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13) is

The co-ordinates of the foci of the ellipse 3x ^(2) + 4y ^(2) -12 x -8y +4=0, are

Equation of radical axis of the circles x^(2) + y^(2) - 3x - 4y + 5 = 0 and 2x^(2) + 2y^(2) - 10x - 12y + 12 = 0 is

The equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)+6x+4y-12=0,x^(2)+y^(2)-4x-6y-12=0 and having radius sqrt(13)" is