In cartesian coordinates the point is

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

In cartesian coordinates the point

A

(x_1, y_1)

, where

x_1 = 1

on the curve

y = x^2 + x + 10

. Then tangent at

A

cuts the

X

-axis at

B

. The value of the dot product

\mathbf{OA} \cdot \mathbf{AB}

is (1)

-\frac{520}{3}

(2) -148 (3) 140 (4) 12