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
+
= 1
Now, length of minor axis 2b = 16 ⇒ b = 8, Foci are (0, ±6) ⇒ c = 6
we know thatc 2 = a 2 – b 2
∴( 6 ) 2 = a 2 – ( 8 ) 2 ⇒ a 2 = 36 + 64 = 100.
Hence the required equation of ellipse is
+
= 1.
∴ The equation of ellipse in standard form is
Now, length of minor axis 2b = 16 ⇒ b = 8, Foci are (0, ±6) ⇒ c = 6
we know that
∴
Hence the required equation of ellipse is
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