What is the value of r if the distance between ... - JAMB Mathematics 2009 Question
What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?
A
1
B
2
C
3
D
4
Ask EduPadi AI...
Correct Option: B
A(4,2) and B(1,r), AB = 3 units
3 = √ (x2- x1)2 + (y2-y1)2
3 = √ (4-1)2 + (2-r)2
3 = √ 32 + (2-r)2
3 = √ 9 + 4 – 4r + r2
3 = √ r2 - 4r + 13
9 = r2 - 4r + 13 By squaring both sides
r2 - 4r + 4 = 0
(r-2)(r-2) = 0
r = 2
Please share this, thanks:
#JAMB #JAMB
Add your answer
No responses