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## Chapter 4: Geometric Constructions

### Balbharati solutions for Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board Chapter 4 Geometric Constructions Practice Set 4.1 [Page 96]

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

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.

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

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

∆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 Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board Chapter 4 Geometric Constructions Practice Set 4.2 [Pages 98 - 99]

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

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

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

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.

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.

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.

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 Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board Chapter 4 Geometric Constructions Problem Set 4 [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

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

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.

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.

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

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.

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

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.

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

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

## Balbharati solutions for Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board chapter 4 - Geometric Constructions

Balbharati solutions for Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board 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 Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics 2 Geometry 10th Standard SSC Maharashtra State Board 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.

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