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EXERCISE 11.1

In each of the following, give the justification of the construction also:

**Question
1.** Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two
parts.

**Question 2.** Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose
sides are
2
3 of the corresponding sides of the first triangle.

**Question 3.** Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose
sides are
7
5 of the corresponding sides of the first triangle.

**Question
4.** Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another
triangle whose sides are 1 1
2
times the corresponding sides of the isosceles triangle.

**Question
5.** Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ ABC = 60°. Then construct
a triangle whose sides are
3
4
of the corresponding sides of the triangle ABC.

**Question
6.** Draw a triangle ABC with side BC = 7 cm, ∠ B = 45°, ∠ A = 105°. Then, construct a
triangle whose sides are 4
3
times the corresponding sides of Δ ABC.

**Question
7.** Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and
3 cm. Then construct another triangle whose sides are 5
3
times the corresponding sides
of the given triangle.

EXERCISE 11.2

In each of the following, give also the justification of the construction:

**Question
1.** Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair
of tangents to the circle and measure their lengths.

**Question
2.** Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of
radius 6 cm and measure its length. Also verify the measurement by actual calculation.

**Question
3.** Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter
each at a distance of 7 cm from its centre. Draw tangents to the circle from these two
points P and Q.

**Question
4.** Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an
angle of 60°.

**Question
5.** Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm
and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each
circle from the centre of the other circle.

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उपर दिखायी दे रही पीडीऍफ़ को डाउनलोड करने का लिंक

- Chapter 1: REAL NUMBERS
**[Ques wise Ans]** - Chapter 2: POLYNOMIALS
**[Ques wise Ans]** - Chapter 3: PAIR OF LINEAR EQUATIONS IN TWO VARIABLE
**[Ques wise Ans]** - Chapter 6: Triangles
**[Ques wise Ans]** - Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 11 Constructions
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
- Chapter 5 Arithmetic Progressions

- NCERT Solutions for Class 9
- NCERT Solutions for Class 10
- NCERT Solutions for Class 11
- NCERT Solutions for Class 12

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