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.
    The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

      • 0
      • 1
      • 3
      • 2

    • 2.
      If the median of the following distribution is 32.5, then find the values of x and y.


        • 3.
          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.


            • 4.
              In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


                • 5.
                  The natural number 2 is :

                    • a prime number
                    • a composite number
                    • prime as well as composite
                    • neither prime nor composite

                  • 6.
                    Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).

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