1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Distinguishing between Conics from General Equation and Eccentricity
In the equati...
Question
In the equation
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
,
if
a
=
b
=
h
=
1
and
f
≠
g
,
then eccentricity of the conic is
Open in App
Solution
Clearly,
h
2
=
a
b
△
=
a
b
c
+
2
f
g
h
−
a
f
2
−
b
g
2
−
c
h
2
=
c
+
2
f
g
−
f
2
−
g
2
−
c
=
−
(
f
−
g
)
2
Since
f
≠
g
,
we have
△
≠
0
∴
The conic is parabola
⇒
e
=
1
Suggest Corrections
0
Similar questions
Q.
In the equation
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
,
if
a
=
b
=
h
=
1
and
f
≠
g
,
then eccentricity of the conic is
Q.
General form of a conic is
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
, if
h
2
>
a
b
, then the conic is
Q.
General form of a conic is
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
, if
h
2
<
a
b
, then the conic is
Q.
General form of a conic is
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
, if
h
2
=
a
b
, then the conic is
Q.
The equation
a
x
2
+
b
y
2
+
2
h
x
y
+
2
g
x
+
2
f
y
+
c
=
0
will represent a circle, if
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
Defining Conics
MATHEMATICS
Watch in App
Explore more
Distinguishing between Conics from General Equation and Eccentricity
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