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Standard XI
Mathematics
Question
If
a
x
=
b
y
=
c
z
and
b
2
=
a
c
, then the value of
y
is equal to
x
z
2
(
x
−
z
)
x
z
2
(
z
−
x
)
2
x
z
x
+
z
2
x
z
(
x
−
z
)
A
x
z
2
(
x
−
z
)
B
2
x
z
x
+
z
C
2
x
z
(
x
−
z
)
D
x
z
2
(
z
−
x
)
Open in App
Solution
Verified by Toppr
Let
a
x
=
b
y
=
c
z
=
k
.....( Given )
∵
a
x
=
k
⇒
a
=
k
1
x
∵
b
y
=
k
⇒
b
=
k
1
y
.....
∵
c
z
=
k
⇒
c
=
k
1
z
Given,
b
2
=
a
c
Substituting values of
a
,
b
,
c
in above equation
(
k
1
y
)
2
=
k
1
x
×
k
1
z
⇒
k
2
y
=
k
1
x
+
1
z
⇒
2
y
=
1
x
+
1
z
⇒
2
y
=
x
+
z
x
z
⇒
y
=
2
x
z
x
+
z
Option (A) is correct.
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Similar Questions
Q1
If
a
x
=
b
y
=
c
z
and
b
2
=
a
c
, prove that
y
=
2
x
z
x
+
z
.
View Solution
Q2
a
x
=
b
y
=
c
x
and
b
2
=
a
c
prove that
y
=
2
x
z
x
+
z
View Solution
Q3
For all real numbers
x
,
y
and
z
, the determinant
∣
∣ ∣ ∣
∣
2
x
x
y
−
x
z
y
2
x
+
z
+
1
−
x
y
−
x
z
+
y
z
−
z
2
1
+
y
3
x
+
1
2
x
y
−
2
x
z
1
+
y
∣
∣ ∣ ∣
∣
is equal to:
View Solution
Q4
If
a
x
=
b
y
=
c
z
and
b
2
=
a
c
, then
1
x
+
1
z
is equal to
View Solution
Q5
If
a
x
=
b
y
=
c
z
and
b
2
=
a
c
, then
1
x
+
1
z
View Solution