1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Physics
Scale Conversions
The value of ...
Question
The value of parameter '
a
' so that the line
(
3
−
a
)
x
+
a
y
+
a
2
−
1
=
0
is a normal to the curve
x
y
=
1
is/are:
A
(
3
,
∞
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(
−
∞
,
0
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(
0
,
3
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct options are
A
(
3
,
∞
)
B
(
−
∞
,
0
)
Slope of Normal at
P
(
x
1
,
y
1
)
is
x
2
(
>
0
)
Slope of given line is
(
a
−
3
)
a
≥
0
⇒
(
a
−
3
)
a
≥
0
numerator and denometer both positive
⇒
a
−
3
≥
0
and
a
>
0
⇒
a
ϵ
[
3
,
∞
)
numerator and denometer both negative
⇒
a
−
3
≤
0
and
a
<
0
⇒
a
ϵ
(
−
∞
,
0
)
⇒
a
ϵ
(
−
∞
,
0
)
∪
[
3
,
∞
)
Hence, options 'A' and 'B' are correct.
Suggest Corrections
0
Similar questions
Q.
The value of the parameter
′
a
′
so that the line
(
3
−
a
)
x
+
a
y
+
(
a
2
−
1
)
=
0
is a normal to the curve
x
y
=
1
,
may lies in the interval
Q.
The values of parameter
′
a
′
such that the line
(
log
2
(
1
+
5
a
−
a
2
)
)
x
−
5
y
−
(
a
2
−
5
)
=
0
is a normal to the curve
x
y
=
1
, may lie in the interval
Q.
The values of parameter a such that the line
(
l
o
g
2
(
1
+
5
a
−
a
2
)
)
x
−
5
y
−
(
a
2
−
5
)
=
0
is a normal to the curve
x
y
=
1
, may be in the interval
Q.
lf the line
a
x
+
b
y
+
c
=
0
is a normal to the curve
x
y
=
1
, then :
Q.
If the line
a
x
+
b
y
+
c
=
0
is a normal to the curve
x
y
=
1
,
then
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
Building a Thermometer
PHYSICS
Watch in App
Explore more
Scale Conversions
Standard XII Physics
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