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Question
Mathematics
If the area of the Ellipse is (x2/25)+(y2/λ2)=1 is 20 π square units, then λ is
Q. If the area of the Ellipse is
25
x
2
+
λ
2
y
2
=
1
is
20
π
square units, then
λ
is
3577
195
KCET
KCET 2021
Conic Sections
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A
±
4
42%
B
±
3
27%
C
±
2
19%
D
±
1
11%
Solution:
25
x
2
+
λ
2
y
2
=
1
πab
=
π
⋅
5
⋅
∣
λ
∣
=
20
π
∣
λ
∣
=
4
⇒
λ
=
±
4