Chapter 9: Circles — Online MCQ Test
MATHS · CLASS 9th · Karnataka State Board
Practice Chapter 9: Circles with a free chapter-wise online MCQ test.
This chapter covers: This chapter covers chords perpendiculars from centre equal chord properties arc subtended angles and cyclic quadrilaterals..
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Chapter 9: Circles — Important Questions & Answers
What is the perpendicular distance from the centre of a circle to a chord called?
- A. Radius
- B. Diameter
- C. Perpendicular bisector of the chord
- D. Tangent
Answer: C. Perpendicular bisector of the chord
The line from the centre that is perpendicular to a chord bisects the chord. It acts as the perpendicular bisector of the chord.
The line from the centre that is perpendicular to a chord bisects the chord. It acts as the perpendicular bisector of the chord.
If two chords of a circle are equal, then their distances from the centre are:
- A. Equal
- B. Unequal
- C. Always zero
- D. One is the double of the other
Answer: A. Equal
Equal chords of a circle are equidistant from the centre. This is a standard property of circles.
Equal chords of a circle are equidistant from the centre. This is a standard property of circles.
In a circle, a perpendicular drawn from the centre to a chord:
- A. Bisects the chord
- B. Makes the chord equal to the radius
- C. Always passes through the diameter
- D. Is parallel to the chord
Answer: A. Bisects the chord
The perpendicular from the centre to a chord bisects the chord. This is a key theorem in Chapter 9.
The perpendicular from the centre to a chord bisects the chord. This is a key theorem in Chapter 9.
Two chords AB and CD of a circle are equal. If the distance of AB from the centre is 5 cm, what can be said about CD?
- A. Its distance from the centre is 5 cm
- B. Its distance from the centre is less than 5 cm
- C. Its distance from the centre is more than 5 cm
- D. It must be a diameter
Answer: A. Its distance from the centre is 5 cm
Equal chords are equidistant from the centre. Therefore, CD is also 5 cm from the centre.
Equal chords are equidistant from the centre. Therefore, CD is also 5 cm from the centre.
In a circle, if OA is perpendicular to chord BC and OB = OC, which of the following is true?
- A. BC is a diameter
- B. A is the midpoint of BC
- C. OA bisects BC
- D. BC is tangent to the circle
Answer: C. OA bisects BC
The perpendicular from the centre to a chord bisects the chord. Therefore, OA bisects BC if OA is perpendicular to BC.
The perpendicular from the centre to a chord bisects the chord. Therefore, OA bisects BC if OA is perpendicular to BC.