NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 40
Total: 71
Ends of major axis (±3, 0), ends of minor axis (0, ±2)
Solution:  
Since, ends of major axis (±3, 0) lie on x-axis.
∴ The equation of ellipse in standard form is
x2
a2
+
y2
b2
= 1
Now, ends of major axis = (±3, 0) ⇒ a = 3.
Also, ends of minor axis = (0, ±2) ⇒ b = 2
Hence, required equation of ellipse is
x2
9
+
y2
4
= 1.
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