Question

Line segment ON is perpendicular to line segment ML.

Answer 1

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

$OM^2=MP^2+OP^2$

$5^2=4^2+OP^2$

$OP^2=25-16=9$

$OP=3 units$

As we see

$ON=OP+NP$

$5=3+NP$

$NP=5-3=2\thinspace units$

Hence, the length of NP is 2 units.

Option D is correct.