Q53Single correct2 Marks30 Apr 2023

Consider the function f(x, y) = x^2 + xy. Which of the following lines represents the tangent line at the point $(1, 1)$ in the direction of the vector (1, 1)?

A

{ $(x, y, z)$ in $\mathbb{R}^3$ | (x-1)/(1/sqrt(2)) = (y-1)/(1/sqrt(2)) = (z-2)/(2*sqrt(2)) }

B

{ $(x, y, z)$ in $\mathbb{R}^3$ | (x-1)/(1/sqrt(2)) = (y-1)/(1/sqrt(2)) = (z-1)/1 }

C

{ $(x, y, z)$ in $\mathbb{R}^3$ | (x-1)/(1/sqrt(2)) = (y-1)/(1/sqrt(2)) = (z-2)/(3/sqrt(2)) }

D

{ $(x, y, z)$ in $\mathbb{R}^3$ | x/(1/sqrt(7)) = y/(1/sqrt(7)) = z/(2/sqrt(7)) }