NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 43
Total: 71
Length of minor axis 16, foci (0, ±6)
Solution:  
Since the foci (0, ±6) lie on y-axis.
∴ The equation of ellipse in standard form is
x2
a2
+
y2
b2
= 1
Now, length of minor axis 2b = 16 ⇒ b = 8, Foci are (0, ±6) ⇒ c = 6
we know that c2 = a2b2
(6)2 = a2(8)2a2 = 36 + 64 = 100.
Hence the required equation of ellipse is
x2
64
+
y2
100
= 1.
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