NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 44
Total: 71
Foci (±3, 0), a = 4
Solution:  
Since the foci (±3, 0) lie on x-axis.
∴ The equation of ellipse in standard form is
x2
a2
+
y2
b2
= 1
Now, foci are (±3, 0) ⇒ c = 3
We know that c2 = a2b2
(3)2 = (4)2b2b2 = 16 – 9 = 7.
Hence the required equation of ellipse is
x2
16
+
y2
7
= 1.
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