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Standard IX
Mathematics
Question
If
4
x
2
+
3
y
2
4
x
2
−
3
y
2
=
11
5
then
x
2
=
2
y
2
.
True
False
A
False
B
True
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Solution
Verified by Toppr
Given:
4
x
2
+
3
y
2
4
x
2
−
3
y
2
=
11
5
Using componendo and dividendo:
4
x
2
+
3
y
2
+
4
x
2
−
3
y
2
4
x
2
+
3
y
2
−
4
x
2
+
3
y
2
=
11
+
5
11
−
5
⟹
8
x
2
6
y
2
=
16
6
⟹
x
2
=
2
y
2
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Similar Questions
Q1
If
4
x
2
+
3
y
2
4
x
2
−
3
y
2
=
11
5
then
x
2
=
2
y
2
.
View Solution
Q2
If
4
x
2
+
3
y
2
4
x
2
−
3
y
2
=
11
5
, use properties of proportion to prove the
x
2
=
2
y
2
.
View Solution
Q3
What should be subtracted from
2
x
2
−
4
y
2
+
6
x
y
+
10
to obtain
−
2
x
2
−
3
y
2
+
6
x
y
+
10
?
View Solution
Q4
Subtract:
(
x
2
−
2
x
y
+
3
y
2
)
from
(
4
x
2
−
5
x
y
+
8
y
2
)
View Solution
Q5
If
(
4
x
2
−
3
y
2
)
:
(
2
x
2
+
5
y
2
)
=
12
:
19
, then
x
:
y
is
View Solution