1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Sum of n Terms
If 1, log y...
Question
If
1
,
log
y
x
,
log
z
y
,
−
15
log
x
z
are in
A
.
P
.
, then
A
z
3
=
x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x
=
y
−
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
z
−
3
=
y
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x
=
y
−
1
=
z
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
All the above
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
E
All the above
Let
d
be the common difference of the
A
.
P
.
Then,
log
y
x
=
1
+
d
⇒
x
=
y
1
+
d
----- ( 1 )
log
z
y
=
1
+
2
d
⇒
y
=
z
1
+
2
d
------ ( 2 )
−
15
log
x
z
=
1
+
3
d
⇒
z
=
x
−
(
1
+
3
d
)
15
------ ( 3 )
x
=
y
1
+
d
=
z
(
1
+
2
d
)
(
1
+
d
)
=
x
−
(
1
+
d
)
(
1
+
2
d
)
(
1
+
3
d
)
15
⇒
(
1
+
d
)
(
1
+
2
d
)
(
1
+
3
d
)
=
−
15
⇒
6
d
3
+
11
d
2
+
6
d
+
16
=
0
⇒
(
d
+
2
)
(
6
d
2
−
d
+
8
)
=
0
⇒
d
=
−
2
Substituting value of
d
we get,
⇒
x
=
y
−
1
=
z
3
=
x
1
3
or
⇒
x
=
y
−
1
=
z
3
,
y
=
z
−
3
Suggest Corrections
0
Similar questions
Q.
Determine the relations in x, y and z if
1
,
l
o
g
y
x
,
l
o
g
z
y
,
−
15
l
o
g
x
z
are in A.P.
Q.
if
1
,
log
y
x
,
log
z
y
,
−
15
log
x
z
are in AP,then ?
Q.
If
2
x
4
=
y
4
+
z
4
,
x
y
z
=
8
and
l
o
g
y
x
,
l
o
g
z
y
,
l
o
g
x
z
are in
G
.
P
.
, then find the value of
x
,
y
,
z
belonging to
R
.
Q.
If x, y, z are all different and
∣
∣ ∣ ∣
∣
x
x
2
1
+
x
3
y
y
2
1
+
y
3
z
z
2
1
+
z
3
∣
∣ ∣ ∣
∣
=
0
then
1
+
x
y
z
=
?
Q.
If
x
,
y
,
z
are all different and if
∣
∣ ∣ ∣
∣
x
x
2
1
+
x
3
y
y
2
1
+
y
3
z
z
2
1
+
z
3
∣
∣ ∣ ∣
∣
=
0
then
1
+
x
y
z
=
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
Arithmetic Progression - Sum of n Terms
MATHEMATICS
Watch in App
Explore more
Sum of n Terms
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