MCQs: Class 9 Chapter 5: I’m Up and Down, and Round and Round

MCQs on Chapter 5: I’m Up and Down, and Round and Round for Class 9 Maths are available in this Maths article along with a free PDF for offline practice. These MCQs on Circles help students revise important concepts from the CBSE Class 9 Maths syllabus in an exam-oriented format. The questions cover circles, chords, arcs, cyclic quadrilaterals, perpendicular bisectors, equal chords, angles subtended by arcs, and properties related to distances of chords from the centre.

Practising these MCQs with answers and step-by-step explanations will help students strengthen conceptual understanding, improve logical thinking, and prepare confidently for school exams and competitive assessments.

MCQs on Chapter 5: I’m Up and Down, and Round and Round Class 9 with Answers

Question 1: A circle is the set of all points in a plane that are at a fixed distance from a:

(A) Diameter
(B) Chord
(C) Centre
(D) Arc

Answer: (C) Centre

Explanation: A circle is defined as the set of all points in a plane that are equidistant from a fixed point called the centre.

Question 2: The longest chord of a circle is:

(A) Radius
(B) Diameter
(C) Arc
(D) Tangent

Answer: (B) Diameter

Explanation: The diameter passes through the centre of the circle and has the greatest possible length among all chords.

Question 3: If two chords of a circle are equal, then they subtend:

(A) Unequal angles at the centre
(B) Equal angles at the centre
(C) Right angles at the centre
(D) Supplementary angles at the centre

Answer: (B) Equal angles at the centre

Explanation: Equal chords of a circle subtend equal angles at the centre according to the theorem on equal chords.

Question 4: If two chords of a circle subtend equal angles at the centre, then the chords are:

(A) Parallel
(B) Equal
(C) Perpendicular
(D) Unequal

Answer: (B) Equal

Explanation: Chords of a circle that subtend equal angles at the centre are equal in length.

Question 5: The perpendicular drawn from the centre of a circle to a chord:

(A) Divides the circle into two equal parts
(B) Bisects the chord
(C) Is parallel to the chord
(D) Forms a tangent

Answer: (B) Bisects the chord

Explanation: The perpendicular from the centre of a circle to a chord always bisects the chord.

Question 6: If the radius of a circle is 13 cm and the perpendicular distance from the centre to a chord is 5 cm, then the length of the chord is:

(A) 10 cm
(B) 12 cm
(C) 24 cm
(D) 26 cm

Answer: (C) 24 cm

Explanation: Half of the chord length = √(13² − 5²)

= √(169 − 25)

= √144

= 12

Therefore, chord length = 2 × 12 = 24 cm.

Question 7: The angle subtended by a diameter at any point on the circle is:

(A) 45°
(B) 60°
(C) 90°
(D) 180°

Answer: (C) 90°

Explanation: The angle subtended by a diameter at the circumference of a circle is always a right angle.

Question 8: If an arc subtends an angle of 100° at the centre, then the angle subtended by the same arc at a point on the remaining circle is:

(A) 25°
(B) 50°
(C) 100°
(D) 200°

Answer: (B) 50°

Explanation: The angle subtended by an arc at the centre is double the angle subtended at any point on the remaining part of the circle.

100° ÷ 2 = 50°

Question 9: A quadrilateral is called cyclic if:

(A) All its sides are equal
(B) Opposite sides are parallel
(C) Its vertices lie on the same circle
(D) Diagonals bisect each other

Answer: (C) Its vertices lie on the same circle

Explanation: A quadrilateral whose four vertices lie on the same circle is called a cyclic quadrilateral.

Question 10: The sum of opposite angles of a cyclic quadrilateral is:

(A) 90°
(B) 180°
(C) 270°
(D) 360°

Answer: (B) 180°

Explanation: Opposite angles of a cyclic quadrilateral are supplementary.

Question 11: In a cyclic quadrilateral, if one angle measures 75°, then its opposite angle measures:

(A) 75°
(B) 90°
(C) 105°
(D) 115°

Answer: (C) 105°

Explanation: Opposite angles of a cyclic quadrilateral add up to 180°.

180° − 75° = 105°

Question 12: If two chords of a circle are equidistant from the centre, then the chords are:

(A) Equal
(B) Parallel
(C) Perpendicular
(D) Diameters

Answer: (A) Equal

Explanation: Chords that are equidistant from the centre of a circle are equal in length.

Question 13: If two distinct points are given on a plane, the number of circles passing through them is:

(A) One
(B) Two
(C) Three
(D) Infinitely many

Answer: (D) Infinitely many

Explanation: Every point on the perpendicular bisector of the line segment joining the two points can act as the centre of a circle passing through them.

Question 14: Three non-collinear points determine:

(A) No circle
(B) Exactly one circle
(C) Exactly two circles
(D) Infinitely many circles

Answer: (B) Exactly one circle

Explanation: There is a unique circle passing through three non-collinear points.

Question 15: If one chord of a circle is longer than another chord, then the longer chord is:

(A) Farther from the centre
(B) Closer to the centre
(C) Equal distance from the centre
(D) A diameter

Answer: (B) Closer to the centre

Explanation: Among unequal chords of a circle, the longer chord lies nearer to the centre.

Download Free PDF worksheet on Chapter 5: I’m Up and Down, and Round and Round - Class 9

Download the free PDF worksheet on Chapter 5: I’m Up and Down, and Round and Round MCQs with answers and detailed explanations based on the latest CBSE and NCERT syllabus.

MCQs Worksheet on Chapter 5: I’m Up and Down, and Round and Round for Class 9