1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Latus Rectum of Ellipse
The latusrect...
Question
The latusrectum LL’ subtends a right angle at the centre of the ellipse, then its eccentricity is
A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
From the right angled triangle OSL,
tan
45
∘
=
S
L
O
S
⇒
b
2
a
=
a
e
⇒
a
2
(
1
−
e
2
)
=
a
2
e
⇒
e
2
+
e
−
1
=
0
⇒
e
=
−
1
±
√
1
+
4
2
⇒
e
=
√
5
−
1
2
Suggest Corrections
0
Similar questions
Q.
If a latus-rectum of an ellipse subtends a right angle at the centre of the ellipse, then write the eccentricity of the ellipse.
Q.
If a latus rectum of an ellipse subtends a right angle at the centre of the ellipse, then write the eccentricity of the ellipse.