Question

The point on the line $3x-4y=25$ which is nearest to the origin is

• A. $(-4,5)$
• B. $(3,-4)$
• C. $(-3,4)$
• D. $(3,4)$

Answer 1

The correct option is B $(3,-4)$

The point on the line $3x-4y=25$ that is nearest from origin is foot of perpendicular from origin upon the line itself which is given by

$\frac{x-0}{3}=\frac{y-0}{-4}=-\frac{(3.0-4.0-25)}{3^2+4^2}\Rightarrow (x,y)=(3,-4)$