CBSE Class 10 Mathematics Constructions Assignment Set A

Read and download free pdf of CBSE Class 10 Mathematics Constructions Assignment Set A. Get printable school Assignments for Class 10 Mathematics. Class 10 students should practise questions and answers given here for Chapter 12 Areas Related To Circles Mathematics in Class 10 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 10 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

Assignment for Class 10 Mathematics Chapter 12 Areas Related To Circles

Class 10 Mathematics students should refer to the following printable assignment in Pdf for Chapter 12 Areas Related To Circles in Class 10. This test paper with questions and answers for Class 10 Mathematics will be very useful for exams and help you to score good marks

Chapter 12 Areas Related To Circles Class 10 Mathematics Assignment

 

Construction

Q.- To divide a line segment PQ in the ration 7 : 3 internally, first a ray PX is drawn so that ∠QPX is an acute angle and then at equal distances, points are marked on the ray PX such that the minimum number of these points is : 
a. 7
b. 3
c. 4
d. 10

Ans-  d. 10
Explanation: According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e., 7 + 3 = 10
 
Q.- Which theorem criterion we are using in giving the justification of the division of a line segment by usual method? 
a. Basic Proportionality theorem
b. SSS criterion
c. Pythagoras theorem
d. Area theorem

Ans- a. Basic Proportionality theorem
Explanation: The intercept theorem, also known as Thales' theorem or basic proportionality theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting
lines are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles.
 
Q.-  To divide a line segment AB internally in the ratio 4 : 7, first a ray AX is drawn so that ∠BAXis an acute angle and then at equal distances, points are marked on ray AX such that the minimum number of these points are: 
a. 9
b. 11
c. 10
d. 12
 
Ans- b. 11
Explanation: According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e. 4 + 7 = 11

WT_Constructions test 1

Q.- The construction of a triangle, similar and larger to a given triangle as per given scale factor m:n is possible only when 
a.m<n
b.m=n
c. Independent of scale factor
d.m>n
 
Ans- d. m > n
Explanation: The construction of a triangle, similar and larger to a given triangle as per given scale factor, m:n is possible only when. Because We have to construct a similar and larger triangle so that side of this triangle should be larger to the given triangle.
 
Q.- To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠ BAX is an acute angle and then points …. are located at equal distances on the ray AX and the point B is joined to
a. A12
b. A10
c. A9
d. A11
 
Ans-  d. A11
Explanation: To divide a line segment AB in the ratio m:n (when m > n), a ray AX is drawn such that ∠ BAX is an acute angle and then points A1, A2, A3...Am, …..An…. are located at equal distances on the ray AX and then the point B is joined to
 
Q.- To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of the two radii of the circle, which are inclined at an angle of 
a. 45o
b. 120o
c. 60o
d. 90o
 
Ans- d. 90o
WT_Constructions test 2
Explanation: According to the question, the tangents are inclined at an angle of 180o - 90o = 90o
 
Q.- Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre. 
 
Ans-
WT_Constructions test 3
Steps of construction:
1. Take a point O on the plane of the paper and draw a circle of radius 3.5 cm.
2. Mark a point P at a distance of 6.2 cm from the centre O and join OP.
3. Draw a right bisector of OP, intersecting OP at Q.
4. Taking Q as centre and OQ = PQ as radius, draw a circle to intersect the given circle at T and T'.
5. Join PT and PT' to get the required tangents.

 

Level 3

Q1- Draw a pair of tangents to a circle of radius 4.5cm which are inclined to each other at an angle of 450

CBSE Class 10 Mathematics Constructions Assignment Set A

 

Q2- Draw a circle of radius 6cm, draw a tangent to this circle making an angle of 300 with a line passing through the centre.

 

 

Please click the link below to download CBSE Class 10 Mathematics Constructions Assignment Set A


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CBSE Class 10 Mathematics Chapter 12 Areas Related To Circles Assignment

We hope you liked the above assignment for Chapter 12 Areas Related To Circles which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above Assignments for Class 10 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 10 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations. 

Assignment for Mathematics CBSE Class 10 Chapter 12 Areas Related To Circles

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Chapter 12 Areas Related To Circles Assignment Mathematics CBSE Class 10

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Chapter 12 Areas Related To Circles Assignment CBSE Class 10 Mathematics

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CBSE Mathematics Class 10 Chapter 12 Areas Related To Circles Assignment

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The Chapter 12 Areas Related To Circles Class 10 Mathematics Assignments have been designed based on latest CBSE syllabus for Class 10 Mathematics issued for the current academic year

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