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JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy
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Application +4 | -1
A tangent is drawn to the curve y=8/x2y=8 / x^2 in xyx y-plane at the point A(x0,y0)A\left(x_0, y_0\right), where x0=2x_0=2, and the tangent cuts the xx-axis at a point BB. Then AB⋅OB{A B} \cdot {O B} is equal to
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Correct option: D
3
Option D (3) is correct because the dot product of vectors AB and OB, where B is the x-intercept of the tangent to the curve at point A, equals 3.

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