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UPSC NDA II 2014 Mathematics Paper
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© examsnet.com
Question : 48
Total: 120
What is the length of the latus rectum of the ellipse
25
x
2
+
16
y
2
=
400
?
[NDA II 2014]
25/2
25/4
16/5
32/5
Validate
Solution:
Given :
25
x
2
+
16
y
2
=
400
⇒
x
2
16
+
y
2
25
=
1
Here
a
2
=
16
and
b
2
=
25
Latus rectum
=
2
b
2
a
=
2
×
25
4
=
25
2
© examsnet.com
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