Let the circle x2+y2−8x=0 and hyperbola x29−y24=1 intersect at the points A and B, where A is in first quadrant. If an ellipse is constructed with vertices at A,B and having eccentricity 1√3, then the distance between its foci is

Let the circle x2+y2−8x=0 and hyperbola x29−y24=1 intersect at the

1.	Let the circle x2+y2−8x=0 and hyperbola x29−y24=1 intersect at the points A and B, where A is in first quadrant. If an ellipse is constructed with vertices at A,B and having eccentricity 1√3, then the distance between its foci is
Answer» Let the circle $x^{2} + y^{2} - 8 x = 0$ and hyperbola $\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$ intersect at the points $A$ and $B$ , where $A$ is in first quadrant. If an ellipse is constructed with vertices at $A, B$ and having eccentricity $\frac{1}{\sqrt{3}}$ , then the distance between its foci is