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NCERT Class XI Mathematics - Conic Sections - Solutions
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Question : 42 of 71
Marks:
+1,
-0
Length of major axis 26, foci (±5, 0)
Solution:
Since the foci (±5, 0) lie on x-axis. ∴ The equation of ellipse in standard form is = 1 Now, length of major axis 2a = 26 ⇒ a = 13, Foci are (±5, 0) ⇒ c = 5 Also, we know that = ⇒ 52 = ⇒ = 169 – 25 = 144. Hence the required equation of ellipse is = 1
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