2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Focal Chord of Ellipse
The equation ...
Question
The equation of ellipse whose distance between the foci is equal to
8
and the distance between the directrix is
18
is
(
a
>
b
)
-
A
5
x
2
−
9
y
2
=
180
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
9
x
2
+
5
y
2
=
180
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x
2
+
9
y
2
=
180
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5
x
2
+
9
y
2
=
180
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
5
x
2
+
9
y
2
=
180
a
e
−
(
−
a
e
)
2
a
e
−
8
a
e
−
(
−
a
e
)
2
a
e
=
18
22
a
e
×
2
a
e
=
8
×
18
4
a
2
=
18
×
8
a
2
=
36
a
=
±
6
2
a
e
=
8
2
(
6
)
e
=
8
⇒
e
=
2
3
e
=
√
1
−
b
2
a
2
=
√
1
−
b
2
36
(
2
3
)
2
=
1
−
b
2
36
b
2
36
=
1
−
4
9
=
5
9
b
2
=
20
x
2
36
+
y
2
20
=
1
5
x
2
+
9
y
2
=
180
Suggest Corrections
0
Similar questions
Q.
The distance between the foci of the ellipse
9
x
2
+
5
y
2
=
180
is:
Q.
The equation of ellipse whose distance between the foci is equal to
8
and distance between the
directrix is
18
,
is -
Q.
If
e
and
e
′
are the eccentricities of the ellipse
5
x
2
+
9
y
2
=
45
and the hyperbola
5
x
2
−
4
y
2
=
45
respectively, then
e
e
′
is equal to
Q.
Equation of the hyperbola whose vertices are (± 3, 0) and foci at (± 5, 0), is
(a) 16x
2
− 9y
2
= 144
(b) 9x
2
− 16y
2
= 144
(c) 25x
2
− 9y
2
= 225
(d) 9x
2
− 25y
2
= 81
Q.
The length of the latus rectum of the ellipse
5
x
2
+
9
y
2
=
45
is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Ellipse and Terminologies
MATHEMATICS
Watch in App
Explore more
Focal Chord of Ellipse
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app