Chapter 9 MATHS : Circles — Online MCQ Test
MATHS · CLASS 9th · Andhra State Board
Practice Chapter 9 MATHS : 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 MATHS : Circles — Important Questions & Answers
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. Bisects the arc only
- D. Is always greater than the radius
Answer: A. Bisects the chord
The perpendicular from the centre of a circle to a chord bisects the chord. This is a basic theorem in circles.
The perpendicular from the centre of a circle to a chord bisects the chord. This is a basic theorem in circles.
Equal chords of a circle subtend equal angles at the:
- A. Centre of the circle
- B. Chord itself
- C. Diameter only
- D. Tangent point
Answer: A. Centre of the circle
Equal chords subtend equal angles at the centre. This property is used frequently in circle geometry.
Equal chords subtend equal angles at the centre. This property is used frequently in circle geometry.
A chord of a circle is 10 cm long. If the perpendicular from the centre to the chord bisects it, what is the length of each half?
- A. 2 cm
- B. 5 cm
- C. 10 cm
- D. 20 cm
Answer: B. 5 cm
Since the perpendicular from the centre bisects the chord, the 10 cm chord is divided into two equal parts of 5 cm each.
Since the perpendicular from the centre bisects the chord, the 10 cm chord is divided into two equal parts of 5 cm each.
Which statement is NOT true about chords of a circle?
- A. Equal chords subtend equal angles at the centre
- B. Perpendicular from the centre to a chord bisects it
- C. The longest chord of a circle is its diameter
- D. A chord always passes through the centre
Answer: D. A chord always passes through the centre
Not every chord passes through the centre. Only a diameter is a chord that passes through the centre.
Not every chord passes through the centre. Only a diameter is a chord that passes through the centre.
Which of the following is sufficient to prove that two chords of a circle are equal?
- A. Their distances from the centre are equal
- B. Their arcs are in the same circle
- C. They subtend angles of 45° and 60° at the circumference
- D. They are both less than the diameter
Answer: A. Their distances from the centre are equal
Chords that are equidistant from the centre of a circle are equal. This gives a direct criterion for equality of chords.
Chords that are equidistant from the centre of a circle are equal. This gives a direct criterion for equality of chords.