Question

10 NO
30. IT AB and CD are two equal point
chords then which one of the
followings are correct
statement
B
D
M
E
P
N
C с
BEO > CEO​

Answer 1

Answer:

Step-by-step explanation:

O is the centre.

Given:-OM⊥AB.....(1)

ON⊥CD......(2)

and AB⊥CD.....(3)

⇒AB∣∣ONandCD∣∣DM​

from (2) and  (3)      from (1) and (3)

⇒MP∣∣ONandPN∣∣OM​

             (4)                   (5)

∴OMPN is a parallelogram.                  

(since opposite side are parallel.)

But angle ∠ONP=900=(Given)

∠NPM=900(Given)

∠NPM=∠NOM [opposite angles of parallelogram]

∴ all angles in the parallelogram are 900

∴OMPN is a square or rectangle.

∴  length of perpendicular from centre to equal chords are equal.

⇒ON=OM

adjacent sides of rectangular OMPN are equal.

⇒OMPNisasquare​