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.

(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.

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Areas Related to Circle36 mins
Champ Quiz | Area Related with the Circle45 mins
Quiz | Imp. Qs. on Circle35 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses