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Mathematics
Mathematics
Problem
In cartesian coordinates the point
A
A
A
is
(
x
1
,
y
1
)
(x_1, y_1)
(
x
1
,
y
1
)
, where
x
1
=
1
x_1 = 1
x
1
=
1
on the curve
y
=
x
2
+
x
+
10
y = x^2 + x + 10
y
=
x
2
+
x
+
10
. Then tangent at
A
A
A
cuts the
X
X
X
-axis at
B
B
B
. The value of the dot product
O
A
⋅
A
B
\mathbf{OA} \cdot \mathbf{AB}
OA
⋅
AB
is a.
−
520
3
-\frac{520}{3}
−
3
520
b. -148 c. 140 d. 12
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