Assertion A: If are four points on a semi-circular arc with a centre at such that . Then, .

Reason R: Polygon law of vector addition yields .

In the light of the above statements, choose the most

Question

Assertion A: If  are four points on a semi-circular arc with a centre at  such that . Then, .

Reason R: Polygon law of vector addition yields .

In the light of the above statements, choose the most appropriate answer from the options given below.

Canvas Classes · Accepted Answer

🧠 Express Each Vector as  — Then the Assertion Becomes Pure Geometry

Read the question slowly. Both the Assertion and the Reason involve vectors between points on a semicircle. The single technique that handles every term is: any chord from  to a point  can be written as  (going through the centre).

For the Assertion,  expanded this way gives . Since  and  are diameter ends, . So , giving . Assertion holds.

For the Reason, the polygon law says  (head-to-tail addition closes onto the start-to

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