1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Standard Equation of Parabola
Write explici...
Question
Write explicitly, functions of
y
defined by the following equations and also find the domains of definition of the given implicit functions:
x
+
∣
y
∣
=
2
y
A
y
=
{
x
x
<
0
x
3
x
≥
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y
=
{
x
3
x
<
0
x
x
≥
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
y
=
{
x
3
x
<
0
3
x
x
≥
0
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 option is
B
y
=
{
x
3
x
<
0
x
x
≥
0
x
+
∣
y
∣
=
2
y
|
y
|
=
−
y
when
y
<
0
⇒
x
−
y
=
2
y
⇒
y
=
x
3
|
y
|
=
y
when
y
≥
0
⇒
x
+
y
=
2
y
⇒
y
=
x
Clearly,
x
varies as
y
.
y
=
{
x
3
x
<
0
x
x
≥
0
Suggest Corrections
0
Similar questions
Q.
Write explicitly, functions of
y
defined by the following equations and also find the domains of the given implicit functions :
10
x
+
10
y
=
10
Q.
Find the domains of definition of the following functions.
y
=
√
3
x
−
4
x
2
x
2
−
x
−
8
.
Q.
Find the domains of definition of the following functions.
y
=
√
2
x
−
3
x
Q.
Find the domain of definition of the following function.
y
=
√
4
−
3
x
−
x
2
x
+
4
.
Q.
Find the domain of definition of the following function.
y
=
√
3
x
−
7
6
√
x
+
1
.
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
Parabola
MATHEMATICS
Watch in App
Explore more
Standard Equation of Parabola
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