1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Length of Intercept Made by a Circle on a Straight Line
Q. Find the e...
Question
Q. Find the equation of the parabola with latus rectum joining the points (2,4) and (2,-2)
Open in App
Solution
Dear Student,
S
i
n
c
e
t
h
e
l
a
t
u
s
r
e
c
t
u
m
p
a
s
s
e
s
t
h
r
o
u
g
h
t
h
e
p
o
i
n
t
s
2
,
4
a
n
d
2
,
-
2
t
h
e
r
e
f
o
r
e
,
t
h
e
l
e
n
g
t
h
o
f
t
h
e
l
a
t
u
s
r
e
c
t
u
m
i
s
g
i
v
e
n
b
y
D
i
s
tan
c
e
F
o
r
m
u
l
a
,
i
,
e
2
-
2
2
+
-
2
-
4
2
=
6
2
=
6
n
o
w
t
h
e
e
q
u
a
t
i
o
n
o
f
t
h
e
p
a
r
a
b
o
l
a
i
s
g
i
v
e
n
b
y
,
y
-
b
2
=
6
x
-
a
2
S
i
n
c
e
t
h
e
p
a
r
a
b
o
l
a
p
a
s
s
e
s
t
h
r
o
u
g
h
2
,
4
a
n
d
2
,
-
2
4
-
b
2
=
6
2
-
a
2
-
-
-
(
1
)
a
n
d
,
-
2
-
b
2
=
6
2
-
a
2
-
-
-
(
2
)
S
u
b
t
r
a
c
t
i
n
g
e
q
u
n
(
2
)
f
r
o
m
(
1
)
,
w
e
g
e
t
;
4
-
b
2
-
-
2
-
b
2
=
0
16
+
b
2
-
8
b
-
4
+
b
2
+
4
b
=
0
16
-
4
-
8
b
-
4
b
+
b
2
+
b
2
=
0
12
-
12
b
=
0
b
=
1
,
n
o
w
i
n
e
q
n
(
1
)
4
-
1
2
=
6
2
-
a
2
3
2
=
6
4
+
a
2
-
4
a
9
=
24
+
6
a
2
-
24
a
6
a
2
-
24
a
+
15
=
0
2
a
2
-
8
a
+
5
=
0
U
sin
g
D
-
m
e
t
h
o
d
t
o
s
o
l
v
e
=
w
e
g
e
t
,
a
=
8
±
24
4
a
=
4
±
6
2
N
o
w
,
t
h
e
e
q
n
o
f
t
h
e
p
a
r
a
b
o
l
a
i
s
;
y
-
1
2
=
6
x
-
4
±
6
2
2
Rgards.
Suggest Corrections
0
Similar questions
Q.
Find the equation of the parabola with latus - rectum joining points
(
4
,
6
)
and
(
4
,
−
2
)
Q.
The equation of parabola whose latus rectum is the line segment joining the points (–3, 1), (1, 1) is
Q.
If
(
2
,
4
)
and
(
2
,
−
4
)
are the end points of latus rectum, then which of the following can be vertex of parabola
Q.
If
(
2
,
4
)
and
(
2
,
−
4
)
are the end points of latus rectum, then which of the following can be vertex of parabola
Q.
Let a circle
x
2
+
y
2
−
2
x
−
3
=
0
touches the directrix of a parabola and passes through end points of latus rectum of the same parabola. If latus rectum of the parabola is chord of maximum length with respect to given circle and equation of parabola is
y
2
=
k
x
, then
k
=
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
MATHEMATICS
Watch in App
Explore more
Length of Intercept Made by a Circle on a Straight Line
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
