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:

  1. Constructions
  2. Constructions Formula
  3. Constructions Revision Notes

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

Download PDF: NCERT Solutions for Class 10 Mathematics Chapter 11 pdf


NCERT Solutions for Class 10 Mathematics Chapter 11

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

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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:

Maths Related Articles:

CBSE X Related Questions

  • 1.
    Find the H.C.F. and L.C.M. of 408 and 312.


      • 2.
        If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

          • \( \sqrt{3} \)
          • \( \frac{4}{\sqrt{3}} \)
          • \( \frac{\sqrt{3}}{2} \)
          • \( 1 \)

        • 3.
          Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

          38(i) Represent the above situation in terms of a pair of linear equations in two variables.


            • 4.
              \(17 \times 11 \times 13 + 11\) is

                • a prime number.
                • multiple of 17.
                • a composite number.
                • an odd number.

              • 5.
                Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :


                  • 6.
                    In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

                    37(i) Find \(m\angle AOP\).

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