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Q) In the given figure, O is the centre of the circle. AB and AC are tangents drawn to the circle from point A. If ∠BAC = 65°, then find the measure of ∠BOC. Ans: Since ∠BAC + ∠BOC = 180° (circle’s identity) ∠BOC = 180° —∠BAC ∠BOC = 180°— […]
circles
Q) The discus throw is an event in which an athlete attempts to throw a discus. The athlete spins anti-clockwise around one and a half times through a circle, then releases the throw. When released, the discus travels along tangent to the circular spin orbit. In the given figure, AB is one such tangent to
Q) In the given figure, a circle is inscribed in a quadrilateral ABCD in which ∠B = 900. If AD = 17 cm, AB = 20 cm and DS = 3 cm, then find the radius of the circle. Ans: In the above diagram, DR = DS = 3 cm Therefore, AR = AD –
Q) Two tangents TP and TQ are drawn to a circle with centre 0 from an external point T. Prove that ∠PTQ = 2∠OPQ. Ans: TP = TQ ⇒ ∠TPQ = ∠TQP Let ∠PTQ be θ ⇒ ∠TPQ = ∠TQP = = 90° –   Now, ∠OPT = 90° ⇒ ∠OPQ = 90° – [90° –