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Class 10 Math Unit Wise Class Test 1 | Practical Geometry of a Circle | Exercise 10.2 & Review Exercise | Model Papers 2027

Class 10 Math Chapter 10 Board Model Paper

Class 10 Mathematics Unit Wise Class Test 1 on Practical Geometry of a Circle is prepared for Punjab Board students according to the latest examination pattern. This test covers Exercise 10.2 and Review Exercise from Class 10 Mathematics and is useful for preparation of Punjab Board 2027 Model Papers, school tests, annual examinations, and board-style practice. Students can use this Class 10 Maths Unit 10 test to improve their concepts, practice important questions, and prepare effectively for the Mathematics Board Exam 2027.

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Model Paper 2027
T-2
Unit 10: Practical Geometry of Circles
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(i) A tangent to a circle touches the circle at:
(a) Exactly one point
(b) Two distinct points
(c) Infinite many points
(d) None point
(ii) At point of contact, the tangent line makes an angle with radius of value:
(a) 0°
(b) 30°
(c) 45°
(d) 90°
(iii) From a point outside the circle, these can be drawn ________ tangents to the circle:
(a) One
(b) Two
(c) Four
(d) Infinite many
(iv) Two tangent lines drawn from a point outside the circle are:
(a) Parallel
(b) Perpendicular
(c) Equal in length
(d) None of these
(v) A tangent line can pass through a point that lies:
(a) On the circumference
(b) Inside the circle
(c) Outside the circle
(d) Both (a) and (c)
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Model Paper 2027
T-2
Unit 10: Practical Geometry of Circles
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) Define Tangent to a circle.
(ii) Draw tangent to APB at point P, when P is midpoint of the arc.
(iii) Draw tangent to PQR at point P, when P is endpoint of the arc.
(iv) Draw tangent to ABC from a point P, when P is outside the arc.
(v) Draw a circle of radius 1.3cm and draw a tangent at point P, when P lies on its circumference.
(vi) Draw a circle of radius 1.5cm and draw a tangent at point P, when P is at a distance of 8cm from its centre.
Note: Answer the following Questions. (4 + 4 = 8)
3. Draw a circle of radius 1.6cm. Draw two tangents that meet an angle of 30°.
Construction / Diagram Area O r = 1.6 cm P 30°
4. From a pulley point, construct two tangents to a machine wheel having r = 2.1cm, such that the angle between them is 30°.
O r = 2.1 cm P 30°

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