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.
    In the adjoining figure, the slant height of the conical part is :

      • 4 cm
      • 7 cm
      • 5 cm
      • 25 cm

    • 2.
      Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
      Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

        • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
        • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
        • Assertion (A) is true, but Reason (R) is false.
        • Assertion (A) is false, but Reason (R) is true.

      • 3.
        The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

          • \(2:5\)
          • \(1:2\)
          • \(2:1\)
          • \(5:2\)

        • 4.
          Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


            • 5.
              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 \( AC \).


                • 6.
                  The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

                    • 0
                    • 1
                    • 3
                    • 2

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