Education
Class 10 Mathematics Chapter 10 Full Chapter Test | Practical Geometry of Circles | Punjab Board 2027 Model Paper
Standard Board Model Paper 2026 class 10 Chapter 10
Class 10 Mathematics Chapter 10 Full Chapter Test is a useful practice paper for students preparing Punjab Board 2027 Model Papers. This test covers Chapter 10: Practical Geometry of Circles and includes important questions about circles, chords, perpendicular bisectors, arcs, tangents, centres, construction of circles, and related geometrical constructions. Students can use this Class 10 Maths Chapter 10 Test for exam preparation, revision, self-assessment, and practice according to the Punjab Boards examination pattern.
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Full Unit Test
Unit 10: Practical Geometry of Circles
Board Model Paper 2027
Objective Type
Time Allowed: 20 Min.
Max. Marks: 15
Note:
Four possible answer A, B, C and D to each question are given.
The choice which you think is correct, fill that circle front of that
question with Marker or ink pen in the answer book. Cutting filling
two or more circles will result in zero mark in that question.
(i) Right bisects of two different chords of a circle intersect at:
(ii) Number of points needed to draw a unique circle through these points:
(iii) To find the center of the circle, which type of the arc is needed?
(A)
(B)
(C)
(D) All of these
(iv) Number of circles can pass through three non-collinear point is:
(v) The mid point of a line segment divides the segment into:
(vi) A tangent to a circle touches the circle at:
(vii) At point of contact, the tangent line makes an angle with radius of value:
(viii) From a point outside the circle, these can be drawn ________ tangents to the circle:
(ix) Two tangent lines drawn from a point outside the circle are:
(x) A tangent line can pass through a point that lies:
(xi) Angle x in the accompanying figure is
m∠x =
(xii) Which of the following is unique for a circle?
(xiii) At least how many chords are needed to locate center of the circle?
(xiv) Two tangents of a circle can pass through a point if that point lies:
(xv) In accompanying figure
ABC is ________ to the circle.
Here is Subjective Part of Board Model Paper 2027.
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Subjective Type
Time Allowed: 2:10 hours
(Part-I)
Max. Marks: 60
2. Write short answers to any six (06) questions:
(2 × 6 = 12)
(i) How many circles can pass through three non-collinear points?
(ii) Define non-collinear points.
(iii) What is the property used to locate the centre of a circle?
(iv) How many tangents can be drawn from an external point to a circle?
(v) Draw a Circle Passing through Three Given Non-collinear Points.
(vi) Complete a Circle by Finding its Centre, When a Part of Its Circumference is Given.
(vii) Complete a Circle without Finding its Centre, When a Part of its Circumference
(Arc) is Given.
(viii) Construct a circle with the help of given radius and verify its centre by
construction:
r = 1.5 cm
(ix) Take any three non-collinear points
P, Q, R
and construct a circle passing through these points.
3. Write short answers to any six (06) questions:
(2 × 6 = 12)
(i) To Draw a Tangent to a Given Arc without using the Centre Through a Given Point
P When point
P is the middle point of the arc.
(ii) To Draw a Tangent to a Given Arc without using the Centre Through a Given Point
P When point
P is an endpoint of the arc.
(iii) Draw a Tangent to a given Circle from a Point
P when
P Lies on the Circumference.
(iv) Draw a tangent to the circle from a point
P when
P lies outside the circle.
(v) Draw tangent to
⌢APB
at point
P,
when
P
is midpoint of the arc.
(vi) Draw a circle of radius
1.3 cm
and draw a tangent at point
P,
when
P
lies on its circumference.
(vii) Draw a circle of radius
1.5 cm
and draw a tangent at point
P,
when
P
is at a distance of
8 cm
from its centre.
(viii) Draw a tangent to any point on a circular part of the track having radius
= 2 cm.
(ix) What is a right bisector?
4. Write short answers to any six (06) questions:
(2 × 6 = 12)
(i) Construct a circle with the help of given radius and verify its centre by
construction:
r = 1.7 cm.
(ii) Take a part of the circular track, use chords and perpendicular bisectors
to complete a circular track.
(iii) Define collinear points.
(iv) Draw a circle of radius
1.4 cm
and draw a tangent at point
P,
when
P
lies on its circumference.
(v) Draw a tangent to any point on a circular part of the track having radius
= 2 cm.
(vi) Draw a circle of radius
1.6 cm.
Draw two tangents that meet an angle of
30°.
(vii) How much tangents can be drawn on a circle from a point?
(viii) Construct a circle with the help of given radius and verify its centre by
construction:
r = 1.7 cm.
(ix) Define Point of concurrency.
(Part-II) Note: Attempt any two (02) questions.
(2 × 8 = 16)
5:(a)
Draw an arc
PQR
and complete a circle without finding its centre.
(b)
A part of the Ferris wheel rim is visible as an arc.
Using any three points on the arc, construct the circle by finding its centre.
6:(a)
ABC
an arc of a fountain, complete a circle without finding its centre.
(b)
Take a part of the circular track, use chords and perpendicular bisectors
to complete a circular track.
7:(a)
To Draw a Tangent to a Given Arc without using the Centre Through a Given Point
P
When Point
P
is outside the arc.
(b)
Draw a circle with radius
1.5 cm.
Draw two tangents to this circle that meet an angle of
30°.
(Part-III) Note: Attempt any one (01) question.
(1 × 8 = 8)
8:(a)
Draw a circle of radius
1.6 cm.
Draw two tangents that meet an angle of
30°.
(b)
From a pulley point, construct two tangents to a machine wheel having
r = 2.1 cm,
such that the angle between them is
30°.
9:(a)
Draw a circle of radius
1.2 cm
and draw a tangent at point
P,
when
P
is at a distance of
5 cm
from the centre.
(b)
Two decorative fences touch the circular flower bed of radius
2.1 cm
and meet outside it at an angle of
30°
to form an entrance arch. Draw two tangents to the flower bed from
the point where the fences meet at an angle of
30°.
