Question

A triangle ABC, right angled at A, has points A and B as (2, 3) and (0, –1) respectively. If BC = 5 units then the point C is

(a)  (–4, 2)

(b)  (4, 2)

(c)  (3, 3)

(d)  (2, 4) 

Answer 1

Correct option (b) (4, 2) 

Explanation:

Let the point C be (h,k).

Then h² + (k+1)2 = 25

Using slope of AC × AB = –1

2(k – 3) = –(h – 2), which are satisfied by (4,2) and (0,4).