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Standard VIII
Maths
Question
If
x
y
2
=
a
3
,
y
z
2
=
b
3
and
z
x
2
=
c
3
then
z
3
equals
b
c
4
a
2
b
4
c
a
2
b
2
c
4
a
2
a
b
4
c
2
A
b
c
4
a
2
B
b
4
c
a
2
C
a
b
4
c
2
D
b
2
c
4
a
2
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Solution
Verified by Toppr
x
y
2
=
a
3
(1)
y
z
2
=
b
3
(2)
z
x
2
=
c
3
(3)
From (3)
z
=
c
3
x
2
(4)
Substituting value of x from (1) in (4)
z
=
c
3
(
a
3
y
2
)
2
=
c
3
y
4
a
6
(5)
Substituting value of y from (2) in (5)
z
=
c
3
(
b
3
z
2
)
4
a
6
=
c
3
b
12
z
8
a
6
(6)
From (6)
z
9
=
c
3
b
12
a
6
z
3
=
c
b
4
a
2
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2
Similar Questions
Q1
If
x
y
2
=
a
3
,
y
z
2
=
b
3
and
z
x
2
=
c
3
then
z
3
equals
View Solution
Q2
If
x
a
=
y
b
=
z
c
, then
x
3
a
3
+
y
3
b
3
+
z
3
c
3
is equal to
.
View Solution
Q3
If
x
a
=
y
b
=
z
c
, then prove that
x
3
a
3
+
y
3
b
3
+
z
3
c
3
=
3
(
x
+
y
+
z
)
3
(
a
+
b
+
c
)
3
View Solution
Q4
Factorise:
x
(
y
2
−
z
2
)
+
y
(
z
2
−
x
2
)
+
z
(
x
2
−
y
2
)
.
View Solution
Q5
If
x
a
⋅
x
b
⋅
x
c
=
1
, then
a
3
+
b
3
+
c
3
is equal to:
View Solution