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Byju's Answer
Standard XII
Mathematics
Chain Rule of Differentiation
If x,y,z ar...
Question
If
x
,
y
,
z
are in A.P., then the value of the determinant
∣
∣ ∣
∣
a
+
2
a
+
3
a
+
2
x
a
+
3
a
+
4
a
+
2
y
a
+
4
a
+
5
a
+
2
z
∣
∣ ∣
∣
is
A
1
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B
0
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C
2
a
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D
a
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Solution
The correct option is
B
0
Since, a,b,c are in A.P.
⇒
2
b
=
a
+
c
∣
∣ ∣
∣
a
+
2
a
+
3
a
+
2
x
a
+
3
a
+
4
a
+
2
y
a
+
4
a
+
5
a
+
2
z
∣
∣ ∣
∣
R
1
→
R
1
+
R
3
=
∣
∣ ∣ ∣
∣
2
(
a
+
3
)
2
(
a
+
4
)
2
a
+
2
(
x
+
z
)
a
+
3
a
+
4
a
+
2
y
a
+
4
a
+
5
a
+
2
z
∣
∣ ∣ ∣
∣
=
2
∣
∣ ∣ ∣
∣
(
a
+
3
)
(
a
+
4
)
a
+
2
y
a
+
3
a
+
4
a
+
2
y
a
+
4
a
+
5
a
+
2
z
∣
∣ ∣ ∣
∣
=
0
Suggest Corrections
0
Similar questions
Q.
If
x
=
log
2
a
a
,
y
=
log
3
a
2
a
a
n
d
z
=
log
4
a
3
a
, then
x
y
z
+
1
=
Q.
If
x
=
log
2
a
a
,
y
=
log
3
a
2
a
,
z
=
log
4
a
3
a
, prove that
1
+
x
y
z
=
2
y
z
.
Q.
If
log
2
a
a
=
x
,
log
3
a
2
a
=
y
and
log
4
a
3
a
=
z
, then
x
y
z
−
2
y
z
is equal to
Q.
The point A
(
2
a
,
4
a
)
, B
(
2
a
,
6
a
)
and C
(
2
a
+
√
3
a
,
5
a
)
(when
a
>
0
) are vertices of
Q.
Without expanding , find the value of
∣
∣ ∣
∣
a
+
b
2
a
+
b
3
a
+
b
2
a
+
b
3
a
+
b
4
a
+
b
4
a
+
b
5
a
+
b
6
a
+
b
∣
∣ ∣
∣
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