1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Cramer's Rule
If the system...
Question
If the system of linear equations
x
−
4
y
+
7
z
=
7
g
3
y
−
5
z
=
h
−
2
x
+
5
y
−
9
z
=
k
is consistent, then :
A
2
g
+
h
+
k
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
g
+
2
h
+
k
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
g
+
h
+
2
k
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
g
+
h
+
k
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
2
g
+
h
+
k
=
0
Δ
=
∣
∣ ∣
∣
1
−
4
7
0
3
−
5
−
2
5
−
9
∣
∣ ∣
∣
=
0
Since, system of linear equations is consistent,
∴
Δ
=
Δ
1
=
Δ
2
=
Δ
3
=
0
Δ
3
=
0
⇒
2
g
+
h
+
k
=
0
Suggest Corrections
0
Similar questions
Q.
If the system of linear equations
x
−
4
y
+
7
z
=
7
g
3
y
−
5
z
=
h
−
2
x
+
5
y
−
9
z
=
k
is consistent, then :
Q.
If the system of linear equations
x
−
4
y
+
7
z
=
7
g
3
y
−
5
z
=
h
−
2
x
+
5
y
−
9
z
=
k
is consistent, then :
Q.
If the system of linear equations x + 2y + 3z = 6, x + 3y + 5z = 9 and 2x + 5y + az = b are consistent and have infinite number of solutions, then
Q.
The three planes 4y + 6z = 5; 2x + 3y + 5z = 5; 6x + 5y + 9z = 10.
Q.
The three planes
4
y
+
6
z
=
5
,
2
x
+
3
y
+
5
z
=
5
and
6
x
+
5
y
+
9
z
=
10
-
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
System of Linear Equations
MATHEMATICS
Watch in App
Explore more
Cramer's Rule
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