88415
The co-ordinates of the foci of the ellipse \(x^{2} / 400\) \(+\mathrm{y}^{2} / \mathbf{2 5 6}=\mathbf{1}\) are
1 \((12,0)\) and \((-12,0)\)
2 \((9,0)\) and \((-9,0)\)
3 \((0,-9)\) and \((0,-12)\)
4 \((-3,0)\) and \((3,0)\)
Explanation:
(A) : Centre is at \((0,0)\) for the co-ordinates of the foci of the ellipse \(\frac{\mathrm{x}^{2}}{400}+\frac{\mathrm{y}^{2}}{256}=1\) Vertices \((-20,0)(20,0),(0,16)\) and \((0,-16)\) Ellipse is wider than tall \(\rightarrow\) Linear eccentricity is \(C=\sqrt{400-256}=\sqrt{144}=12\) Foci are at \((-12,0)\) and \((12,0)\)
