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

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.

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

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NCERT Solutions for Class 10 Mathematics	Important Maths Formulas	Maths Study material
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CBSE X Related Questions

1.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).
View Solution
2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.
View Solution
3.
If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then
- \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
- \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
- \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
- \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
View Solution
4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.
View Solution
5.
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.
View Solution
6.
The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is
- \(1\)
- \(-5\)
- \(25\)
- \(\sqrt{5}\)
View Solution

View All

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NCERT Solutions for class 10 Mathematics Chapter 11: Constructions

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

NCERT Solutions for Class 10 Mathematics Chapter 11

Class 10 Mathematics Chapter 11 Constructions – Important Topics

NCERT Solutions for Class 10 Chapter 11 Exercises

CBSE X Related Questions

1.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

3.
If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.
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.

6.
The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is

Similar Mathematics Concepts

Comments

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NCERT Solutions for class 10 Mathematics Chapter 11: Constructions

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

NCERT Solutions for Class 10 Mathematics Chapter 11

Class 10 Mathematics Chapter 11 Constructions – Important Topics

​NCERT Solutions for Class 10 Chapter 11 Exercises

CBSE X Related Questions

1.If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

3.If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

4.In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.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.

6.The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions for Class 10 Chapter 11 Exercises

1.
If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

2.
A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

3.
If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

4.
In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

5.
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.

6.
The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is