NCERT Class XI Mathematics - Conic Sections - Solutions
© examsnet.com
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
+
= 1
Now, foci are (±3, 0) ⇒ c = 3
We know thatc 2 = a 2 – b 2
∴( 3 ) 2 = ( 4 ) 2 – b 2 ⇒ b 2 = 16 – 9 = 7.
Hence the required equation of ellipse is
+
= 1.
∴ The equation of ellipse in standard form is
Now, foci are (±3, 0) ⇒ c = 3
We know that
∴
Hence the required equation of ellipse is
© examsnet.com
Go to Question: