NCERT Solutions for class 10 Mathematics Chapter 11: Constructions

NCERT Solutions for Class 10 Mathematics Chapter 11 Constructions are provided in this article. Some of the important topics in Constructions chapter include:

Expected no of questions: 1 to 2 questions of total 4 marks

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NCERT Solutions for Class 10 Mathematics Chapter 11

NCERT Solutions for Class 10 Mathematics Chapter 11 Constructions is given below.

NCERT Solutions

Class 10 Mathematics Chapter 11 Constructions – Important Topics

Construction here in geometry means drawing geometrical figures such as shapes like circles, lines with the help of a compass or a ruler/scale. Note: You cannot measure angles using a protractor, or measure lengths with a ruler for constructions.

Some of the construction techniques covered in this chapter include:

Bisection of a Line Segment
Division of a Line Segment in the ratio m:n
Construction of Triangle with a scale factor m:n
Construction of Tangent to the Circle from a Point Outside the Circle
Construction of Tangent to the Circle from a Point on the Circle

NCERT Solutions for Class 10 Chapter 11 Exercises

NCERT Solutions for Class 10 Chapter 11 Constructions Exercises is given below.

Chapter Related Articles:

Line Segment	Line and ray	Equilateral Triangle
Scalene Triangle	Division Line Segments	Constructions MCQs
Formula of Perimeter Shapes	Area and Volume	Properties of Triangle

Maths Related Articles:

NCERT Solutions for Class 10 Mathematics	Important Maths Formulas	Maths Study material
Difference between in Maths	Algebra	Arithmetics
Geometry	Number System	Mensuration

CBSE X Related Questions

1.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
- \(2\pi r^3\)
- \(3\pi r^3\)
- \(5\pi r^3\)
- \(4\pi r^3\)
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2.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.
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3.
In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
(i) Name the quadrilateral MQBN. (1)
(ii) Is MN parallel to PA? Justify your answer. (1)
(iii) Find length TB. (1)
(iv) Find length MN. (2)
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4.
The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
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5.
In the adjoining figure, the slant height of the conical part is :
- 4 cm
- 7 cm
- 5 cm
- 25 cm
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6.
Which of the following sequence is \(\textit{not }\)an A.P. ?
- \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
- \( -1.2, -3.2, -5.2, -7.2, \dots \)
- \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
- \( 1^2, 3^2, 5^2, 7^2, \dots \)
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