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Mathematics
Mathematics
Problem
Suppose
a
,
b
,
c
a,b,c
a
,
b
,
c
are such that the curve
y
=
a
x
2
+
b
x
+
c
y=ax^2+bx+c
y
=
a
x
2
+
b
x
+
c
is tangent to
y
=
3
x
−
3
y=3x-3
y
=
3
x
−
3
at
(
1
,
0
)
(1,0)
(
1
,
0
)
and is also tangent to
y
=
x
+
1
y=x+1
y
=
x
+
1
at
(
3
,
4
)
(3,4)
(
3
,
4
)
, then the value of
(
2
a
−
b
−
4
c
)
(2a-b-4c)
(
2
a
−
b
−
4
c
)
equals .....
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