A chord of a circle is equal to its radius. A tangent is

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A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

1. 30°
2. 45°
3. 60°
4. 75°

Correct Option: A

According to question , we draw a figure of a circle with centre O

OB = OC = radii
∴ In ∆ OBC,
OB = BC = CO
∴ ∠OCB = ∠OBC = ∠BOC = 60°
OC ⊥ DE
∴ ∠BCD = 90° – 60° = 30°