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# Balbharati solutions for Class 10th Board Exam Geometry chapter 4 - Geometric Constructions

## Chapter 4: Geometric Constructions

#### Chapter 4: Geometric Constructions solutions [Page 96]

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 $\frac{BC}{MN} = \frac{5}{4} .$

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 $\frac{PQ}{LT} = \frac{3}{4} .$

Q 3 | Page 96

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

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.

#### Chapter 4: Geometric Constructions solutions [Pages 98 - 99]

Q 1 | Page 98

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

Q 2 | Page 98

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

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.

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.

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.

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.

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.

#### Chapter 4: Geometric Constructions solutions [Page 99]

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 ............... .

(A) 3 (B) 2 (C) 1 (D) 0
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 .............. .

(A) 2 (B) 1 (C) one and only one (D) 0
Q 1.3 | Page 99

Select the correct alternative for the following question.

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

(A) ∆ABC is bigger.
(B) ∆PQR is bigger.
(C) Both triangles will be equal.
(D) Can not be decided.
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.

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.

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.

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.

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.

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.
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.

## Balbharati solutions for Class 10th Board Exam Geometry chapter 4 - Geometric Constructions

Balbharati solutions for Class 10th Board Exam Geometry 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.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 10th Board Exam Geometry 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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