1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Eccentricity of Hyperbola
If 5 x +9=0 i...
Question
If
5
x
+
9
=
0
is the directrix of the hyperbola
16
x
2
−
9
y
2
=
144
,
then its corresponding focus is :
A
(
−
5
,
0
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(
5
,
0
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(
−
5
3
,
0
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(
5
3
,
0
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
(
−
5
,
0
)
Given,
Equation of hyperbola
⇒
16
x
2
−
9
y
2
=
144
⇒
x
2
9
−
y
2
16
=
1
Here
a
=
3
,
b
=
4
Eccentricity is
⇒
e
2
=
1
+
16
9
⇒
e
=
5
3
Focus is
(
−
a
e
,
0
)
⇒
(
−
5
,
0
)
Suggest Corrections
0
Similar questions
Q.
If
5
x
+
9
=
0
is the directrix of the hyperbola
16
x
2
−
9
y
2
=
144
,
then its corresponding focus is
Q.
If
5
x
+
9
=
0
is the directrix of the hyperbola
16
x
2
−
9
y
2
=
144
,
then its corresponding focus is :
Q.
If
5
x
+
9
=
0
is the directrix of the hyperbola
16
x
2
−
9
y
2
=
144
,
then its corresponding focus is
Q.
One focus of a hyperbola is
(
3
,
0
)
and its corresponding directrix is
4
x
−
3
y
−
3
=
0
. If its
e
=
5
4
then one vertex is :
Q.
If the line
5
x
+
12
y
=
9
touches the hyperbola
x
2
−
9
y
2
=
9
, then its point of contact 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
Hyperbola and Terminologies
MATHEMATICS
Watch in App
Explore more
Eccentricity of Hyperbola
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