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