Test Index

NCERT Class XI Mathematics - Conic Sections - Solutions

© examsnet.com
Question : 41 of 71
Marks: +1, -0
Ends of major axis (0,± 5\sqrt{5}), ends of minor axis (±1, 0)
Solution:  
Since, ends of major axis (0, ± 5\sqrt{5}) lie on y-axis.
∴ The equation of ellipse in standard form is x2a2+y2b2\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
Now, ends of major axis =(0,± 5\sqrt{5}) ⇒ a = 5\sqrt{5}
Ends of minor axis = (± 1, 0) ⇒ b = 1
Hence, required equation of ellipse is x2a+y25\frac{x^2}{a} + \frac{y^2}{5} = 1
© examsnet.com
Go to Question: