1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Differentiation of Inverse Trigonometric Functions
If 2x2+y2+4...
Question
If
2
(
x
2
+
y
2
)
+
4
λ
x
+
λ
2
=
0
represents a circle of meaningful radius, then the range of real values of
λ
is
A
R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(
0
,
∞
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(
−
∞
,
0
)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(
−
∞
,
0
)
∪
(
0
,
∞
)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
C
(
−
∞
,
0
)
∪
(
0
,
∞
)
x
2
+
y
2
+
2
λ
x
+
λ
2
2
=
0
Radius
=
√
λ
2
−
λ
2
2
=
∣
∣
∣
λ
√
2
∣
∣
∣
So, for meaningful radius.
λ
ϵ
R
−
{
0
}
.
Suggest Corrections
0
Similar questions
Q.
If
2
(
x
2
+
y
2
)
+
4
λ
x
+
λ
2
=
0
represents a circle of meaningful radius then the range of real values of
λ
is
Q.
If
k
x
2
+
k
y
2
−
4
x
−
6
y
−
2
k
=
0
represents a real circle, then the set of values of
k
is
Q.
If
2
x
2
+
λ
x
y
+
2
y
2
+
(
λ
−
4
)
x
+
6
y
−
5
=
0
represents a circle, then its radius is
Q.
If the equation
x
2
+
y
2
+
2
λ
x
+
4
=
0
and
x
2
+
y
2
−
4
λ
y
+
8
=
0
represents real circles then the value of
λ
can be
Q.
The set of all real values of
λ
for which the quadratic equation,
(
λ
2
+
1
)
x
2
−
4
λ
x
+
2
=
0
always have exactly one root in the interval
(
0
,
1
)
is:
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
Differentiating Inverse Trignometric Function
MATHEMATICS
Watch in App
Explore more
Differentiation of Inverse Trigonometric Functions
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