Question

(3) 21. O is the centre of given circle, AB and CD are chords such that ON < OM. Which of the following is not correct? M D O B N A​

Answer 1

Answer:

Given : AB = 24 cm, OM = 5 cm, ON =12 cm

OM⊥AB

M is the midpoint of AB

AM=12cm

(i) Radius of circle OA=OM2+AM2

OA=52+122=25+144=169=13

(ii) Again OC2=ON2+CN2        ∵OC=OA

132=122+CN2

CN=132−122=169−144=25

CN=5cm

As ON⊥CD, N is the mis-point of CD

CD=2CN=2×5=10 cm