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प्रश्न
Write True or False. Give reasons for your answers.
A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
पर्याय
True
False
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उत्तर
True.
Let AB be a chord which is twice as long as its radius. It can be observed that in this situation, our chord will be passing through the centre of the circle. Therefore, it will be the diameter of the circle.
संबंधित प्रश्न
Prove that there is one and only one tangent at any point on the circumference of a circle.
Two parallel chords are drawn in a circle of diameter 30.0 cm. The length of one chord is 24.0 cm and the distance between the two chords is 21.0 cm; find the length of another chord.
In the given figure, O is the centre of the circle. If ∠AOB = 140° and ∠OAC = 50°; find:
- ∠ACB,
- ∠OBC,
- ∠OAB,
- ∠CBA.
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In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.
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.
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If O is the centre of the circle, find the value of x in each of the following figures
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In the following figure, O is the centre of the circle. Name all radii of the circle.
