The question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer:


Assertion (A)



Reason (R)



In a circle of radius 13 cm, there is a chord of length 10 cm at a distance of 12 cm from the centre of the circle.



A unique circle can be drawn to pass through three give non – collinear points.



Clearly, reason (R) is true.


Assertion (A) :


OA = 13cm


OL = 12cm


In ΔOAL,


AL2 = OA2 – OL2


AL2 = (13)2 – (12)2


AL2 = 169 – 144


OL = = 5cm


Now, AB = 2 × AL = 2 × 5 = 10cm


Thus, Assertion (A) is true


Reason (R) and Assertion (A) are both true but reason (R) does not gives Assertion (A).


Hence, correct choice is B

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