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Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 18 - Constructions [Latest edition]

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Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 18 - Constructions - Shaalaa.com
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Solutions for Chapter 18: Constructions

Below listed, you can find solutions for Chapter 18 of CISCE Frank for Mathematics - Part 2 [English] Class 10 ICSE.


Exercise 18.1
Exercise 18.1

Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE 18 Constructions Exercise 18.1

Exercise 18.1 | Q 1

Draw a circle of radius 4 cm and take a point Pon its circumference. Construct a tangent to the circle at P. 

Exercise 18.1 | Q 2

Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.

Exercise 18.1 | Q 3

Using ruler and compasses only, construct a triangle ABC in which AB=S cm, BC=6 cm and CA=4.5 cm. Construct a circle passing through A, Band c. 

Exercise 18.1 | Q 4

Using ruler and compasses only, construct and equilateral triangle with side 4.5 cm. Draw a circumcircle of this triangle and measure its radius. 

Exercise 18.1 | Q 5

Using ruler and compasses only, construct  Δ ABC in which BC=7.5 cm, ∠ ABC = 60°  and AC - AB= 1.5 cm. Inscribe a circle in the Δ ABC and measure its radius. 

Exercise 18.1 | Q 6

Draw a circle with radius 3 cm and inscribe an equilateral triangle in it.

Exercise 18.1 | Q 7

Draw a circle of radius 2. 5 cm and circumscribe a square about it.

Exercise 18.1 | Q 8

Inscribe a regular hexagon in a circle of radius 3 .5 cm.

Exercise 18.1 | Q 9

Circumscribe a regular pentagon about a circle of radius 3 cm. 

Exercise 18.1 | Q 10

Inscribe a regular pentagon in a circle of radius 4 cm. Inscribe a circle in this pentagon and me a sure its radius. 

Exercise 18.1 | Q 11

Draw a line segment OA , 5 cm long. AT O , using ruler and compasses only, construct OB such that , ∠ AOB = 37.5° construct a circle to touch OA at A and to touch OB at B.

Exercise 18.1 | Q 12

Draw a circle of radius 4.5 cm. Take a point Pon its circumference. Construct a tangent to the circle at P without using the centre. 

Exercise 18.1 | Q 13

Draw line segments OA = 4.5 cm, OB = 3.2 cm such that ∠ AOB = 45°. Construct a circle touching OA at A and passing through B. 

Exercise 18.1 | Q 14

Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.

Exercise 18.1 | Q 15

Draw a circle with centre O and radius 3 cm. Take a point P outside the circle. Draw tangents to the circle from P without using the centre and using only ruler and compasses. 

Exercise 18.1 | Q 16

Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ? 

Exercise 18.1 | Q 17

Draw two circles of radii 2.5 cm and 3.5 cm respectively so that their centres are 8 cm apart. Draw direct comm on tangents to the circle. 

Exercise 18.1 | Q 18

Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.

Exercise 18.1 | Q 19

Draw two circles of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length. 

Exercise 18.1 | Q 20

Draw two circles with radii 2.5 cm and 4 cm and with their centres 7 cm apart.
Draw a direct common tangent and a transverse common tangent. Calculate the length of the direct common tangent. 

Solutions for 18: Constructions

Exercise 18.1
Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 18 - Constructions - Shaalaa.com

Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 18 - Constructions

Shaalaa.com has the CISCE Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Frank solutions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE 18 (Constructions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Frank textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics - Part 2 [English] Class 10 ICSE chapter 18 Constructions are Circumscribing and Inscribing a Circle on a Regular Hexagon, Circumscribing and Inscribing a Circle on a Triangle, Construction of Tangents to a Circle, Circumscribing and Inscribing Circle on a Quadrilateral, Circumference of a Circle.

Using Frank Mathematics - Part 2 [English] Class 10 ICSE solutions Constructions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Frank Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics - Part 2 [English] Class 10 ICSE students prefer Frank Textbook Solutions to score more in exams.

Get the free view of Chapter 18, Constructions Mathematics - Part 2 [English] Class 10 ICSE additional questions for Mathematics Mathematics - Part 2 [English] Class 10 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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