1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Applications of Pair of Equations
In Δ ABC, if ...
Question
I
n
Δ
A
B
C
,
i
f
∠
A
=
x
,
∠
B
=
y
a
n
d
∠
C
=
z
s
u
c
h
t
h
a
t
x
=
4
y
3
a
n
d
y
=
3
z
8
,
t
h
e
n
∠
B
i
s
e
q
u
a
l
t
o
A
30
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
36
∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
48
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
96
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
36
∘
x
=
4
3
y
y
=
3
8
z
⇒
z
=
8
3
y
⇒
x
+
y
+
z
=
180
∘
⇒
(
4
3
y
)
+
y
+
(
8
3
y
)
=
180
∘
⇒
12
2
y
+
y
=
180
∘
⇒
5
y
=
180
∘
⇒
y
=
36
∘
⇒
∠
B
=
y
=
36
∘
So, option b is correct.
Suggest Corrections
1
Similar questions
Q.
(i) If a(y+z) = b(z+x) = c(x+y) and out of a, b, c no two of them are equal then
show that,
y
-
z
a
b
-
c
=
z
-
x
b
c
-
a
=
x
-
y
c
a
-
b
(ii) If
x
3
x
-
y
-
z
=
y
3
y
-
z
-
x
=
z
3
z
-
x
-
y
and
x
+
y
+
z
≠
0
then show that the value of each ratio is equal to 1.
(iii) If
a
x
+
b
y
x
+
y
=
b
x
+
a
z
x
+
z
=
a
y
+
b
z
y
+
z
and
x
+
y
+
z
≠
0
then show that
a
+
b
2
.
(iv) If
y
+
z
a
=
z
+
x
b
=
x
+
y
c
then show that
x
b
+
c
-
a
=
y
c
+
a
-
b
=
z
a
+
b
-
c
.
(v) If
3
x
-
5
y
5
z
+
3
y
=
x
+
5
z
y
-
5
x
=
y
-
z
x
-
z
then show that every ratio =
x
y
.
Q.
If the three planes
x
=
5
,
2
x
−
5
a
y
+
3
z
−
8
=
0
and
3
b
x
+
y
−
3
z
=
0
contains a common line then (a,b) lies equal to
Q.
If
a
x
−
2
y
+
3
z
=
b
y
−
2
z
+
3
x
=
c
z
−
2
x
+
3
y
and
x
+
y
+
z
≠
0
, then each ratio is also equal to ______.
Q.
Let
S
be the set of all column matrices
⎡
⎢
⎣
b
1
b
2
b
3
⎤
⎥
⎦
such that
b
1
,
b
2
,
b
3
∈
R
and the system of equations (in real variables)
−
x
+
2
y
+
5
z
=
b
1
2
x
−
4
y
+
3
z
=
b
2
x
−
2
y
+
2
z
=
b
3
has at least one solution. Then, which of the following system(s) (in real variables) has (have) at least one solution for each
⎡
⎢
⎣
b
1
b
2
b
3
⎤
⎥
⎦
∈
S
?
Q.
If
log
b
(
a
)
=
x
and
log
b
(
c
)
=
y
, and
4
x
+
6
y
=
8
, then
log
b
(
a
2
.
c
3
)
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
Applications of Pair of Equations
Standard IX 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