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Evaluate : 2√2 cos 45° sin 30° + 2√3 cos 30°
If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B
In the given figure, AB is a diameter of the circle with centre O. AQ, BP and PQ are tangents to the circle. Prove that ∠POQ = 90°.
A circle with centre O and radius 8 cm is inscribed in a quadrilateral ABCD in which P, Q, R, S are the points of contact as shown. If AD is perpendicular to DC, BC = 30 cm and BS = 24 cm, then find the length DC.
A backyard is in the shape of a triangle ABC with right angle at B. AB = 7 m and BC = 15 m. A circular pit was dug inside it such that it touches the walls AC, BC and AB at P, Q and R respectively such that AP = x m.
In the adjoining figure, PA and PB are tangents to a circle with centre O such that ∠P = 90°. If AB = 3√2 cm, then the diameter of the circle is
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