AP is a diameter of a unit circle with centre at O. Let AC be an arc of this circle…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
AP is a diameter of a unit circle with centre at O. Let AC be an arc of this circle, which subtends angle θ radian at centre O. A tangent line is drawn to the circle at the point A and a segement AB on this tangent is laid off whose length is equal to that of the arc AC. A straight line BC is drawn to intersect the extension of the diameter AP at Q. CD is the perpendicular that fall from the point C upon the diameter AP.
The area of the trapezoid ABCD is
- \(\frac{1-\cos \theta}{\theta-\sin \theta}\)
- (θ + sin θ) sin2 \(\frac{\theta}{2}\)
- 2 cos2 \(\frac{\theta}{2}\) (θ – sin θ)
- θ(θ + sin θ)
Answer
(B) ( θ + sin θ ) sin 2 2
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