## Assignment for Class 10 Mathematics Chapter 12 Areas Related To Circles

Class 10 Mathematics students should refer to the following printable assignment in Pdf for Chapter 12 Areas Related To Circles in standard 10. This test paper with questions and answers for Grade 10 Mathematics will be very useful for exams and help you to score good marks

### Chapter 12 Areas Related To Circles Class 10 Mathematics Assignment

**Construction**

**Q.- To divide a line segment PQ in the ration 7 : 3 internally, first a ray PX is drawn so that ∠QPX is an acute angle and then at equal distances, points are marked on the ray PX such that the minimum number of these points is :**

**a. 7**

**b. 3**

**c. 4**

**d. 10**

**d. 10**

**Ans-****Q.-**

**Which theorem criterion we are using in giving the justification of the division of a line segment by usual method?**

**a. Basic Proportionality theorem**

**b. SSS criterion**

**c. Pythagoras theorem**

**d. Area theorem**

**Ans-**a. Basic Proportionality theorem

**Explanation:**The intercept theorem, also known as Thales' theorem or basic proportionality theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two intersecting

**Q.-**

**To divide a line segment AB internally in the ratio 4 : 7, first a ray AX is drawn so that ∠BAXis an acute angle and then at equal distances, points are marked on ray AX such that the minimum number of these points are:**

**a. 9**

**b. 11**

**c. 10**

**d. 12**

**Ans-**b. 11

**Explanation:**According to the question, the minimum number of those points which are to be marked should be (Numerator + Denominator) i.e. 4 + 7 = 11

**Q.-**

**The construction of a triangle, similar and larger to a given triangle as per given scale factor m:n is possible only when**

**a.m<n**

**b.m=n**

**c. Independent of scale factor**

**d.m>n**

**Ans-**d. m > n

**Explanation:**The construction of a triangle, similar and larger to a given triangle as per given scale factor, m:n is possible only when. Because We have to construct a similar and larger triangle so that side of this triangle should be larger to the given triangle.

**Q.-**

**To divide a line segment AB in the ration 4 : 7, a ray AX is drawn first such that ∠ BAX is an acute angle and then points …. are located at equal distances on the ray AX and the point B is joined to**

**a. A**

_{12}**b. A**

_{10}**c. A9**

**d. A**

_{11}**Ans-**d. A

_{11}

**Explanation:**To divide a line segment AB in the ratio m:n (when m > n), a ray AX is drawn such that ∠ BAX is an acute angle and then points A

_{1}, A

_{2}, A

_{3}...A

_{m}, …..A

_{n}…. are located at equal distances on the ray AX and then the point B is joined to

**Q.-**

**To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of the two radii of the circle, which are inclined at an angle of**

**a. 45**

^{o}**b. 120**

^{o}**c. 60**

^{o}**d. 90**

^{o}**Ans-**d. 90

^{o}

**Explanation:**According to the question, the tangents are inclined at an angle of 180o - 90

^{o}= 90

^{o}

**Q.-**

**Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre.**

**Ans-**

**Steps of construction:**

**Level 3**

**Q1- Draw a pair of tangents to a circle of radius 4.5cm which are inclined to each other at an angle of 45 ^{0}**

**Q2- Draw a circle of radius 6cm, draw a tangent to this circle making an angle of 300 with a line passing through the centre.**

**Please click the link below to download ****CBSE Class 10 Mathematics Constructions Assignment Set A**

## Books recommended by teachers

CBSE Class 10 Mathematics Constructions Assignment Set A |