Test Index
NCERT Class XI Mathematics - Conic Sections - Solutions
© examsnet.com
Question : 37 of 71
Marks:
+1,
-0
Vertices (±5, 0), foci (±4, 0)
Solution:
Clearly, the foci (±4, 0) lie on x-axis. ∴ The equation of ellipse in standard form is = 1 Now vertices are (±5, 0) ⇒ a = 5, foci are (±4, 0) ⇒ c = 4 Also, we know that = ∴ = ⇒ = 25 – 16 = 9. Hence the required equation of ellipse is = 1
© examsnet.com
Go to Question: