Multiple choice

PQ is a chord of a circle with centre O and SOR is a line segment originating from a point S on the circle and intersecting PQ produced at R such that QR = OS. If ∠QRO = 30° then ∠POS = ?

  1. 40°

  2. 90°

  3. 60°

  4. 50°
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In circle geometry with QR = OS and ∠QRO = 30°, triangle properties lead to ∠POS = 90°. The specific configuration with chord PQ, point S on circle, and the equal length condition QR=OS forces perpendicularity at O. Options A (40°), C (60°), and D (50°) don't satisfy the geometric constraints.

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