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Standard VIII
Mathematics
Question
If
3
x
+
4
y
=
16
and
x
y
=
4
; find the value of
9
x
2
+
16
y
2
.
160
130
180
156
A
160
B
180
C
156
D
130
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Solution
Verified by Toppr
3
x
+
4
y
=
16
Squaring both sides
=
>
(
3
x
+
4
y
)
2
=
256
=
>
9
x
2
+
16
y
2
+
2
(
3
x
)
(
4
y
)
=
256
=
>
9
x
2
+
16
y
2
+
24
x
y
=
256
=
>
9
x
2
+
16
y
2
=
256
−
24
×
4
=
>
9
x
2
+
16
y
2
=
256
−
96
=
>
9
x
2
+
16
y
2
=
160
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Similar Questions
Q1
If
3
x
+
4
y
=
16
and
x
y
=
4
; find the value of
9
x
2
+
16
y
2
.
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Q2
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Q4
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Q5
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.
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