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NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 39 of 71
Marks:
+1,
-0
Vertices (±6, 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 (± 6, 0) ⇒ a = 6, foci are (± 4, 0) ⇒ c = 4 Also, we know that = ∴ = ⇒ = 36 – 16 = 20. Hence, the required equation of ellipse is = 1.
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