Class XI Chapter **11** – Conic Section Maths ______________________________________________________________________________ Therefore, The coordinates of the foci are 2 5,0 and 2 5,0 The coordinates of the vertices are (6, 0) and (â€“6, 0). Length of major axis = 2a= 12 Length of minor axis = 2b= 8 c 2 5 5 Eccentricity, e = a 6 3 Length of latus rectum 2 2b 216 16 a 6 3 Question 2: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse Solution 2: 2 2 x y 1 4 25 2 2 2 2 x y x y The given equation is 1 or 1 2 2 4 25 2 5 2 2 y x Here, the denominator of is greater than the denominator of . 25 4 Therefore, the major axis is along the y-axis, while the minor axis is along the x-axis. 2 2 x y On comparing the given equation with 1 , we obtain b = 2 and a = 5. 2 2 b a 2 2 c a b Therefore, 25 4 21 The coordinates of the foci are 0, 21 and 0, 21 . The coordinates of the vertices are (0, 5) and (0, â€“5) Length of major axis = 2a= 10 Length of minor axis = 2b= 4 c 21 Eccentricity, e = a 5 Length of latus rectum = 2 2b 24 8 a 5 5 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter **11** – Conic Section Maths ______________________________________________________________________________ Question 3: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the 2 2 x y eccentricity and the length of the latus rectum of the ellipse 1 16 9 Solution 3: 2 2 2 2 x y x y The given equation is 1or 1 2 2 16 9 4 3 2 2 x y Here, the denominator of is greater than the denominator of . 16 9 Therefore, the major axis is along the x-axis, while the minor axis is along the y-axis. 2 2 x y On comparing the given equation with 1, we obtain a = 4 and b = 3. 2 2 a b 2 2 c a b 16 9 7 Therefore, The coordinates of the foci are 7,0 The coordinates of the vertices are 4,0 Length of major axis = 2a= 8 Length of minor axis = 2b= 6 c 7 Eccentricity, e = a 4 Length of latus rectum = 2 2b 29 9 a 4 2 Question 4: Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the 2 2 x y eccentricity and the length of the latus rectum of the ellipse 1 25 100 Solution 4: 2 2 2 2 x y x y The given equation is 1 or =1 2 2 25 100 5 10 2 2 y x Here, the denominator of is greater than the denominator of . 100 25 Therefore, the major axis is along the y-axis, while the minor axis is along the x-axis. 2 2 x y On comparing the given equation with 1 , we obtain b = 5 and a = 10. 2 2 b a 2 2 c a b 100 25 75 5 3 Therefore, Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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