1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Orthocentre
if three dist...
Question
if three distinct normlas can be drawn to the parabola y^2-2y=4x-9 from point 2a b then find range of a
Open in App
Solution
Suggest Corrections
1
Similar questions
Q.
If three distinct normals can be drawn to the parabola
y
2
−
2
y
=
4
x
−
9
from the point
(
2
a
,
b
)
then find the range of the value of
a
.
Q.
If three distinct normals can be drawn to the parabola
y
2
−
2
y
=
4
x
−
9
from the point (2a, b), then the least integral value of a is
___.
Q.
Assertion :Three real and distinct normals can be drawn from the point
(
4
,
0
)
to the parabola
y
2
=
4
x
. Reason: Three real and distinct normals can be drawn to the parabola
y
2
=
4
a
x
,
(
a
>
0
)
from point
(
k
,
0
)
if
k
>
2
a
.
Q.
Assertion :The point of intersection of the tangent at three distinct points
A
,
B
,
C
on the parabola
y
2
=
4
x
can be collinear. Reason: If a line
L
does not intersect the parabola
y
2
=
4
x
, then from every point of the line two tangents can be drawn to the parabola.
Q.
Find the number of distinct normals that can be drawn from
(
2
,
1
)
to the parabola
y
2
−
4
x
−
2
y
−
3
=
0
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
Orthocentre
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
Solve
Textbooks
Question Papers
Install app