CBSE Class 10 Mathematics Circles Assignment Set G

Read and download free pdf of CBSE Class 10 Mathematics Circles Assignment Set G. Get printable school Assignments for Class 10 Mathematics. Class 10 students should practise questions and answers given here for Chapter 10 Circles Mathematics in Class 10 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 10 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

Assignment for Class 10 Mathematics Chapter 10 Circles

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

Chapter 10 Circles Class 10 Mathematics Assignment

 

 

Write True or False and justify your answer in each of the following:
 
Question : Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB = CD.
Solution : We know that chords equidistant from the centre of a circle are equal.
Here we are given that two chords AB and CD of a circle are each at distance 4 cm (equidistance) from the centre of a circle. So, chords are equal, i.e., AB = CD.
Hence, the given statement is true.
 
Question : Two chords AB and AC of a circle with centre O are on the opposite sides of OA.
Then ∠OAB = ∠OAC.
Solution : The given statement is false, because the angles will be equal if AB = AC.
 
Question : Two congruent circles with centres O and O′ intersect at two points A and B. Then
∠AOB = ∠AO′ B. 
Solution : The given statement is true because equal chords of congruent circles subtend equal angles at the respective centre.
 
Question : Through three collinear points a circle can be drawn.
Solution : The given statement is false because a circle through two points cannot pass through a point which is collinear to these two points.
 
Question : A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
Solution : Radius of circle = 3 cm,
 Diameter of circle = 2 × r = 2 × 3 cm = 6 cm
Now, AB = 6 cm, so the given statement is true because AB will be the diameter.
 
Question : If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.
Solution : AOB is a diameter of a circle and C is a point on the circle.
 <ACB = 90° [∵Angle in a semicircle is a right angle]
In right ΔABC,
AC2 + BC2 = AB2 [By Pythagoras theorem]
Hence, the given statement is true.
 
Question : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°.
Solution : We know that opposite angles of a cyclic quadrilateral are supplementary.
Here, sum of opposite angles is not. 180°
∠A+∠C = 90° + 95° =185°
Hence, ABCD is not a cyclic quadrilateral. The given statement is false.
 
Question : If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Solution : The given statement is false because there can be many points D such that ∠BDC = 60°
and each such point cannot be centre of the circle through A, B, C.
 
Question : If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.
Solution :  The given statement is true, because the two angles ∠BAC = 45° and ∠BDC = 45° are in the same segment of a circle.
 
Question :  In Fig. 10.10, if AOB is a diameter and ∠ADC = 120°, then ∠CAB = 30°.
A-26
 
Solution : AOB is a diameter of circle with centre O.
ADC +ABC =180°
[∵ABCD is a cyclic quadrilateral]
 ⇒ 120° +ABC =180°
 
A-27
 
 
⇒ ABC =180° −120° = 60°
In ΔABC, we have
ACB = 90°
[∵Angle in a semicircle and  ΔABC = 60° (Proved above)]
CAB =180°− (90° + 60° ) = 30°
Hence, the given statement is true. 
 
 
CBSE Class 10 Mathematics Circles Assignment Set G
 
 

LEVEL ‐ I

1. Divide a line segment in given ratio.

2. Draw a line segment AB=8cm and divide it in the ratio 4:3.

3. Divide a line segment of 7cm internally in the ratio 2:3.

4. Draw a circle of radius 4 cm. Take a point P on it. Draw tangent to the given circle at P.

5. Construct an isosceles triangle whose base 7.5 cm and altitude is 4.2 cm.
 
 
 
 
Please click the link below to download CBSE Class 10 Mathematics Circles Assignment Set G

CBSE Class 10 Mathematics Chapter 10 Circles Assignment

We hope you liked the above assignment for Chapter 10 Circles which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above Assignments for Class 10 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 10 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations. You can download all Revision notes for Class 10 Mathematics also absolutely free of cost. Lot of MCQ questions for Class 10 Mathematics have also been given in the worksheets and assignments for regular use. All study material for Class 10 Mathematics students have been given on studiestoday. We have also provided lot of Worksheets for Class 10 Mathematics which you can use to further make your self stronger in Mathematics.

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How many topics are covered in Chapter 10 Circles Mathematics assignments for Class 10

All topics given in Chapter 10 Circles Mathematics Class 10 Book for the current academic year have been covered in the given assignment

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Latest syllabus issued for current academic year by CBSE has been used to design assignments for Chapter 10 Circles Class 10

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