Teachoo MCQ Test

10 Question MCQ (including Assertion)

Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
A fundamental property is: "Chords of a circle having the same length are all at the same distance from the centre of the circle." Two parallel chords of length 30 cm are drawn inside a circle of radius 17 cm. The centre of the circle lies between the two chords. What is the perpendicular distance between these two chords?
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Question 2 of 10
Two equal shelves are fitted as chords inside the same circular display. One shelf is \(7\text{ cm}\) from the centre. How far is the other shelf from the centre?
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Question 3 of 10
At vertex \(D\) of cyclic quadrilateral \(ABCD\), side \(CD\) is extended. The exterior angle at \(D\) is \(118^\circ\). What is \(\angle ABC\)?
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Question 4 of 10
A circular tunnel has radius \(13\text{ m}\). A horizontal beam is placed \(5\text{ m}\) above the centre. What is the beam's length?
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Question 5 of 10
According to the geometric property: "The perpendicular from the centre of a circle to a chord of the circle bisects the chord." A circular stained glass window has a horizontal lead chord that is 40 cm long. The shortest distance from this chord to the bottom edge of the circle (along the extended perpendicular bisector) is 10 cm. What is the radius of the window?
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Question 6 of 10
The text states: "Equal chords of a circle subtend equal angles at the centre of the circle." In a circle with centre \(O\) and radius 8 cm, chords \(AB\) and \(CD\) both have a length of 8 cm. What is the sum of the angles \(\angle AOB\) and \(\angle COD\)?
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Question 7 of 10
A circle has radius \(7\text{ cm}\). Which proposed chord length is impossible?
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Question 8 of 10
The angle swept at the centre while travelling along an arc from \(A\) to \(B\) is \(220^\circ\). How should this arc be classified?
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Question 9 of 10
In a circle with centre \(O\), chords \(AB\) and \(AC\) are equal. Which line must contain \(O\)?
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Question 10 of 10
If two chords of a circle subtend equal angles at the centre, then the chords are:
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