Find the equation of the ellipse in the following cases: (i) eccentricity e=12 and foci (±2,0) (ii) eccentricity e=23 snd length of latus-rectum=5 (iii) eccentricity e=12 and semi-major axis =4 (iv) eccentricity e=12 and major axis =12 (v) The ellipse passes through (1,4) and (-6,1). (vi) Vertices (±5,0), foci (±4,0) (vii) Vertices (0,±13), foci (0,±5) (viii) Vertices (±6,0), foci (±4,0) (ix) Ends of major axis (±3,0), ends of minor axis (0,±2) (x) Ends of major axis (0,±√5), ends of minor axis (±1,0) (xi) Length of major axis 26, foci (±5,0) (xii) Length of minor axis 16, foci (0,±6) (xiii) Foci (±3,0), a=4

Find the equation of the ellipse in the following cases: (i) eccentric

1.	Find the equation of the ellipse in the following cases: (i) eccentricity e=12 and foci (±2,0) (ii) eccentricity e=23 snd length of latus-rectum=5 (iii) eccentricity e=12 and semi-major axis =4 (iv) eccentricity e=12 and major axis =12 (v) The ellipse passes through (1,4) and (-6,1). (vi) Vertices (±5,0), foci (±4,0) (vii) Vertices (0,±13), foci (0,±5) (viii) Vertices (±6,0), foci (±4,0) (ix) Ends of major axis (±3,0), ends of minor axis (0,±2) (x) Ends of major axis (0,±√5), ends of minor axis (±1,0) (xi) Length of major axis 26, foci (±5,0) (xii) Length of minor axis 16, foci (0,±6) (xiii) Foci (±3,0), a=4
Answer» Find the equation of the ellipse in the following cases: (i) eccentricity $e = \frac{1}{2}$ and foci $(\pm 2, 0)$ (ii) eccentricity $e = \frac{2}{3}$ snd length of latus-rectum=5 (iii) eccentricity $e = \frac{1}{2}$ and semi-major axis =4 (iv) eccentricity $e = \frac{1}{2}$ and major axis =12 (v) The ellipse passes through (1,4) and (-6,1). (vi) Vertices $(\pm 5, 0)$ , foci $(\pm 4, 0)$ (vii) Vertices $(0, \pm 13)$ , foci $(0, \pm 5)$ (viii) Vertices $(\pm 6, 0)$ , foci $(\pm 4, 0)$ (ix) Ends of major axis $(\pm 3, 0)$ , ends of minor axis $(0, \pm 2)$ (x) Ends of major axis $(0, \pm \sqrt{5})$ , ends of minor axis $(\pm 1, 0)$ (xi) Length of major axis 26, foci $(\pm 5, 0)$ (xii) Length of minor axis 16, foci $(0, \pm 6)$ (xiii) Foci $(\pm 3, 0)$ , a=4