Q. 15.0( 1 Vote )

Write True/False for each and write the reason also for your answer.

(i) The angles subtended at any two points lying of the circle by every chord are equal.

(ii) In figure, AB is a diameter of a circle and C is any point on the circle. Then AC2 + BC2 = AB2.

(iii) In figure 12.48, if ADE = 120°, then EAB = 30°.

(iv) In figure 12.48, CAD = CED.


Answer :

(i) False


We know that if two points lie on the same segment, then they are equal.


Hence, it is false.


(ii) False


C = 90°


By Pythagoras Theorem,


AB2 = AC2 + BC2


(iii) True


Join AD, DE, EB and DB.


ADB = 90°


And BDE = 120° - 90° = 30°


We know that angles that lie on the same segment are equal.


BDE = EAB = 30°


(iv) True


Join AC, CE, CD, DE, AE and AD.



ACDE is minor segment of the circle.


We know that angles in the same segment are equal.


CAD = CED


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