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प्रश्न
Write True or False. Give reasons for your answers.
If a circle is divided into three equal arcs, each is a major arc.
विकल्प
True
False
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उत्तर
False.
Consider three arcs of same length as AB, BC, and CA. It can be observed that for minor arc BDC, CAB is a major arc. Therefore, AB, BC, and CA are minor arcs of the circle.
संबंधित प्रश्न
In Fig. 1, PA and PB are tangents to the circle with centre O such that ∠APB = 50°. Write the measure of ∠OAB.
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In the following figure, AB is the diameter of a circle with centre O and CD is the chord with length equal to radius OA.
Is AC produced and BD produced meet at point P; show that ∠APB = 60°
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In two concentric circles, a chord of length 8 cm of the large circle touches the smaller circle. If the radius of the larger circle is 5 cm, then find the radius of the smaller circle.
In the given figure, two tangents AB and AC are drawn to a circle with centre O such that ∠BAC = 120°. Prove that OA = 2AB.
Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of the common chord PQ.
In a right triangle ABC in which ∠B = 90°, a circle is drawn with AB as diameter intersecting the hypotenuse AC and P. Prove that the tangent to the circle at P bisects BC.
In the following figure, O is the centre of the circle. Shade the smaller segment of the circle formed by CP.
