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Byju's Answer
Standard XII
Mathematics
Equation of Tangent at a Point (x,y) in Terms of f'(x)
Find the valu...
Question
Find the value of
a
+
b
+
c
, if
points
(
−
3
,
10
)
,
(
0
,
1
)
and
(
2
,
15
)
lie on the curve
y
=
a
x
2
+
b
x
+
c
.
A
6
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B
4
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C
8
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D
5
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Solution
The correct option is
A
6
y
=
a
x
2
+
b
x
+
c
Three points
(
−
3
,
10
)
,
(
0
,
1
)
,
(
2
,
15
)
lie on the curve.
Substituting them into the curve, we get
10
=
9
a
−
3
b
+
c
.
.
.
(
1
)
1
=
c
.
.
.
(
2
)
15
=
4
a
+
2
b
+
c
.
.
.
(
3
)
Substituting value of c from equation 2 in equations 1 and 3, we have
10
=
9
a
−
3
b
+
1
or
3
=
3
a
−
b
.
.
.
(
4
)
15
=
4
a
+
2
b
+
1
or
7
=
2
a
+
b
.
.
.
(
5
)
Adding equations (4) and (5), we have
10
=
5
a
or
a
=
2
And therefore,
b
=
3
∴
a
+
b
+
c
=
2
+
3
+
1
=
6
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0
Similar questions
Q.
If
(
−
3
,
10
)
,
(
0
,
1
)
and
(
2
,
15
)
lies on
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a
x
2
+
b
x
+
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, the what is the value of
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Q.
If the curve
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has
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If the curve
y
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