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Byju's Answer
Standard XIII
Mathematics
Parabola
If the parabo...
Question
If the parabola
y
=
a
x
2
+
b
x
+
c
, passes through the points
(
0
,
3
)
,
(
1
,
−
4
)
and
(
−
1
,
4
)
, then
c
−
(
a
+
b
)
=
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Solution
Since, It passes through points.
So,
y
=
a
x
2
+
b
x
+
c
will satisfy the points
(
0
,
3
)
,
(
1
,
−
4
)
and
(
−
1
,
4
)
.
⇒
c
=
3
⋯
(
i
)
⇒
a
+
b
=
−
7
⋯
(
i
i
)
⇒
a
−
b
=
1
⋯
(
i
i
i
)
solving the equations, we get
a
=
−
3
,
b
=
−
4
and
c
=
3
∴
c
−
(
a
+
b
)
=
10
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0
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Parabola
Standard XIII Mathematics
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