consider the equation as shown (x-a)(y-b)=(x-2a)(y-b/2)
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Answer:
a
x
+
b
y
=a+b⟶eq.(1)
a
2
x
+
b
2
y
=2⟶eq.(2)
By multiplying eq.(1)by
a
1
,we get
a
2
x
+
ab
y
=1+
a
b
⟶eq.(3)
On subtracting eq. (3)from(2), we get
a
2
x
+
b
2
y
−
a
2
x
−
ab
y
=2−1−
a
b
⇒
b
y
(
b
1
−
a
1
)=1−
a
b
⇒
b
y
=b
⇒y=b
2
On putting the value of y in eq. (1), we get
a
x
+
b
b
2
=a+b⇒x=a
2
Hence, x=a
2
&y=b
2
.
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