Question

The coordinates $(x_0,y_0)$ of the point on the line $y=x+2$ which is close to the parabola $y^2=4ax$ is :

• A. $(0,2)$
• B. $(\frac{1}{2},\frac{5}{2})$
• C. $(\frac{5}{2},\frac{9}{2})$
• D. $(1,3)$

Answer 1

The correct option is A

$(0,2)$

$S=y^2-4x$
$S(0,2)=4,S(1/2,5/2)=25/4-2=17/4,S(5/2,9/2)=81/4-20/2=41/4$
and $S(1,3)=9-4=5$

It is clear that (0, 2) is closest to parabola y² = 4x