Answer:
The length of NP is 2 units.
Step-by-step explanation:
Given the radius of 5 units and the length of MP is 4 units in the circle
we have to find the length of NP
OL=OM=5 units ( ∵ Radii of same circle)
In ΔOMP, by Pythagoras theorem
[tex]OM^2=MP^2+OP^2[/tex]
[tex]5^2=4^2+OP^2[/tex]
[tex]OP^2=25-16=9[/tex]
[tex]OP=3 units[/tex]
As we see
[tex]ON=OP+NP[/tex]
[tex]5=3+NP[/tex]
[tex]NP=5-3=2\thinspace units[/tex]
Hence, the length of NP is 2 units.
Option D is correct.
