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Class 10 Mathematics Unit 8 Chords and Arcs of a Circle | Unit Wise Class Test 1 | Punjab Board 2027 Model Papers
Class10 Math Chapter 8 Test 1 New Board Paper 2027
Class 10 Mathematics Unit 8: Chords and Arcs of a Circle Exercise No. 8.1 – Download and practice the Unit Wise Class Test 1 prepared according to the Punjab Board 2027 Model Papers pattern. This Class 10 Mathematics test covers important concepts of Chords and Arcs of a Circle, including chords, arcs, circles, secant lines, congruent arcs, and related mathematical concepts. It is useful for students preparing for the Punjab Board Class 10 Mathematics 2027 examinations and regular classroom assessment.
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Exercise No. 8.1
T-1
Unit 8: Chords and Arcs of a Circle
1. Tick the correct answer.
(1 × 5 = 5)
(i) Number of different circles can pass through three non-collinear points is:
(ii) Given that a diameter bisects a given chord, then both the diameter and chord:
(iii) Set of all the points in a plane that are at the same distance from a fixed point is called:
(iv) The line shown in the figure is called:
(v) Two circles can intersect each other at:
Exercise No. 8.1
T-1
Unit 8: Chords and Arcs of a Circle
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) What is the difference between major arcs and minor arcs?
(ii) Prove that a unique circle can pass through the points
A(1, 1), B(4, 2) and C(3, 5).
(iii) In a circle, mAB = 8 cm is bisected at point P by a line segment from the centre O. Find mOP if radius is 5 cm.
(iv) Calculate the length of a chord which stands at a distance of 5 cm from the centre of a circle whose radius is 13 cm.
(v) In construction, three steel rods are fixed at points A, B, and C (not in a straight line). A circular hoop needs to pass through all three. How many hoops can be used?
(vi) Two holes A and B are drilled 12 cm apart on a circular tabletop of radius 10 cm. Find the perpendicular distance from the centre to AB.
Note: Answer the following Questions:
(4 + 4 = 8)
3. In a circular fountain of radius 8 m, a pipe AB spans across the fountain. If mAB = 12 m and O is centre of the circle. Find the distance from O to the chord AB.
4. Chord AB of 24 m is across a circular arch of radius 13 m. Find the height of the chord from the centre.
