Question

The coordinates (x0,y0) of the point on the line y = x + 2 which is close to the parabola y²= 4x 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 = y² - 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