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# Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 chapter 4 - Geometric Constructions [Latest edition]

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#### Chapters ## Chapter 4: Geometric Constructions

Practice set 4.1Practice set 4.2Problem set 4

#### Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 Chapter 4 Geometric Constructions Exercise Practice set 4.1 [Page 96]

Practice set 4.1 | Q 1 | Page 96

∆ABC ~ ∆LMN. In ∆ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct ∆ABC and ∆LMN such that $\frac{BC}{MN} = \frac{5}{4} .$

Practice set 4.1 | Q 1 | Page 96

Δ ABC ~ Δ LMN. In Δ ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. If MN = 4.8 cm, then construct Δ ABC and Δ LMN.

Practice set 4.1 | Q 2 | Page 96

∆PQR ~ ∆LTR. In ∆PQR, PQ = 4.2 cm, QR = 5.4 cm, PR = 4.8 cm. Construct ∆PQR and ∆LTR, such that $\frac{PQ}{LT} = \frac{3}{4} .$

Practice set 4.1 | Q 3 | Page 96

∆RST ~ ∆XYZ. In ∆RST, RS = 4.5 cm, ∠RST = 40°, ST = 5.7 cm Construct ∆RST and ∆XYZ, such that $\frac{RS}{XY} = \frac{3}{5} .$

Practice set 4.1 | Q 4 | Page 96

∆AMT ~ ∆AHE. In ∆AMT, AM = 6.3 cm, ∠TAM = 50°, AT = 5.6 cm.  $\frac{AM}{AH} = \frac{7}{5} .$Construct ∆AHE.

#### Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 Chapter 4 Geometric Constructions Exercise Practice set 4.2 [Pages 98 - 99]

Practice set 4.2 | Q 1 | Page 98

Construct a tangent to a circle with centre P and radius 3.2 cm at any point M on it.

Practice set 4.2 | Q 2 | Page 98

Draw a circle of radius 2.7 cm. Draw a tangent to the circle at any point on it.

Practice set 4.2 | Q 3 | Page 98

Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

Practice set 4.2 | Q 4 | Page 98

Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your obeservation about the tangents.

Practice set 4.2 | Q 5 | Page 99

Draw a circle with radius 3.4 cm. Draw a chord MN of length 5.7 cm in it. construct tangents at point M and N to the circle.

Practice set 4.2 | Q 6 | Page 99

Draw a circle with centre P and radius 3.4 cm. Take point Q at a distance 5.5 cm from the centre. Construct tangents to the circle from point Q.

Practice set 4.2 | Q 7 | Page 99

Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance 7.3 cm from the centre.

#### Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 Chapter 4 Geometric Constructions Exercise Problem set 4 [Page 99]

Problem set 4 | Q 1.1 | Page 99

Select the correct alternative for the following question.

The number of tangents that can be drawn to a circle at a point on the circle is ............... .

• 3

• 2

• 1

• 0

Problem set 4 | Q 1.2 | Page 99

Select the correct alternative for the following question.

The maximum number of tangents that can be drawn to a circle from a point out side it is .............. .

• 2

• 1

• one and only one

• 0

Problem set 4 | Q 1.3 | Page 99

Select the correct alternative for the following question.

(3) If ∆ABC ~ ∆PQR and (AB)/(PQ) = 7/5, then ...............

• ∆ABC is bigger.

• ∆PQR is bigger.

• Both triangles will be equal.

• Can not be decided.

Problem set 4 | Q 2 | Page 99

Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.

Problem set 4 | Q 3 | Page 99

Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.

Problem set 4 | Q 4 | Page 99

Draw a circle of diameter 6.4 cm. Take a point R at a distance equal to its diameter from the centre. Draw tangents from point R.

Problem set 4 | Q 5 | Page 99

Draw a circle with centre P. Draw an arc AB of 100° measure. Draw tangents to the circle at point A and point B.

Problem set 4 | Q 6 | Page 99

Draw a circle of radius 3.4 cm and centre E. Take a point F on the circle. Take another point A such that E-F-A and FA = 4.1 cm. Draw tangents to the circle from point A.

Problem set 4 | Q 7 | Page 99

∆ABC ~ ∆LBN. In ∆ABC, AB = 5.1cm, ∠B = 40°, BC = 4.8 cm,$\frac{AC}{LN} = \frac{4}{7}$. Construct ∆ABC and ∆LBN.

Problem set 4 | Q 8 | Page 99

Construct ∆PYQ such that, PY = 6.3 cm, YQ = 7.2 cm, PQ = 5.8 cm. If $\frac{YZ}{YQ} = \frac{6}{5},$ then construct ∆XYZ similar to ∆PYQ.

## Chapter 4: Geometric Constructions

Practice set 4.1Practice set 4.2Problem set 4 ## Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 chapter 4 - Geometric Constructions

Balbharati solutions for Textbook for SSC Class 10 Mathematics 2 chapter 4 (Geometric Constructions) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Textbook for SSC Class 10 Mathematics 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Textbook for SSC Class 10 Mathematics 2 chapter 4 Geometric Constructions are To Construct Tangents to a Circle from a Point Outside the Circle., Construction of Triangle If the Base, Angle Opposite to It and Either Median Altitude is Given, Construction of Tangent Without Using Centre, Construction of Tangents to a Circle, Construction of Tangent to the Circle from the Point on the Circle, Basic Geometric Constructions, Division of a Line Segment.

Using Balbharati Class 10th Board Exam solutions Geometric Constructions exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board Class 10th Board Exam prefer Balbharati Textbook Solutions to score more in exam.

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