Question

What will be the co-ordinates of foot of perpendicular line drawn from the point (-1,3) to the line 3x-4y-16=0?

(a) (1/5,2/5)

(b) (2/25,5/25)

(c) (68/25,-49/25)

(d) (-49/25,68/25)

I have been asked this question in final exam.

I would like to ask this question from Computational Geometry in portion Computational Geometry of Data Structures & Algorithms II

Answer 1

Right answer is (c) (68/25,-49/25)

The explanation is: The foot of perpendicular can be found by equating the distance between the two points and the distance between point and line. This is found to be (68/25,-49/25).