CBSE Class 10 Mathematics Circles Worksheet Set F

Read and download free pdf of CBSE Class 10 Mathematics Circles Worksheet Set F. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 10 Circles Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 10 Circles Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 10 Circles Worksheet Pdf

 

CIRCLES
 
Q.- In Fig., if AB = AC, prove that BE = EC
Circles notes 11
 
Sol. Since tangents from an exterior point to a circle are equal in length 
∴ AD = AF     [Tangents from A]
BD = BE       [Tangents from B]
CE = CF       [Tangents from C]
Now,
AB = AC
=> AB – AD = AC – AD
[Subtracting AD from both sides]
=> AB – AD = AC – AF [Using (i)]
=> BD = CF    => BE = CF [Using (ii)]
=> BE = CE [Using (iii)]
 
Q.- In fig. XP and XQ are tangents from X to the circle with centre O. R is a point on the circle.
Circles notes 12
Prove that, XA + AR = XB + BR.
 
Sol. Since lengths of tangents from an exterior
point to a circle are equal.
∴ XP = XQ      .... (i) [From X]
AP = AR         .... (ii) [From A]
BQ = BR         .... (iii) [From B]
Now, XP = XQ
=> XA + AP = XB + BQ
=> XA + AR = XB + BR
[Using equations (i) and (ii)]
 
SECTION A:
 
1. A line touches a circle of radius 4 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then find the distance between them.
 
2. From a point P, which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR are drawn to the circle. Find the area of the quadrilateral PQOR.
 
3. In fig 1, if O is centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then find∠POQ.
 
4. In the figure 2, QR is a common tangent to given circle which meet at T. Tangent at T meets QR at P. If QP = 3.8 cm, then find the length of QR.
 
5. In fig. 3, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, BC = 7 cm, then find the length of BR.
CBSE Class 10 Mathematics Circles Worksheet Set F1
 
6. Point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then find the radius of the circle.
 
7. TP and TQ are two tangents to a circle with centre O such that ∠POQ = 110⁰. Then find ∠PTQ.
 
8. In the figure , QR is a common tangent to given circle which meet at T. Tangent at T meets QR at P. If QP = 3.8 cm, then find the length of QR.
CBSE Class 10 Mathematics Circles Worksheet Set F2
 
9. If the angle between two radii of a circle is 100⁰, find the angle between the tangents at the ends of the radii.
 
10. From a point P which is at a distance of 13 cm from the center of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then find the area of the quadrilateral PQOR.
 
SECTION B :
 
1. Two concentric circles of radii a and b , where a>b are given. Find the length of chord of the larger circle which touches the smaller circle.
 
2. If d1, d2(d2>d1) be diameters of two concentric circles, c be the length of a chord of the circle which is tangent to the other circle, prove that d2 2 = c2 + d12.
 
3. If two tangents inclined at an angle 60⁰ are drawn to a circle of radius 3 cm, find the length of each tangent.
 
4. PA and PB are two tangents drawn from an external point P to a circle with centre O. If OP is equal to diameter of the circle, prove that ΔABP is equilateral.
 
5. A circle touches the side AC of ΔABC at P, touches BC at Q and AB at R. Show thatAC + AR = BC + BR.
CBSE Class 10 Mathematics Circles Worksheet Set F3
 
6. If two tangents inclined at an angle 60⁰ are drawn to a circle of radius 3 cm, find the length of each tangent.
 
7. Two parallel lines touch a circle at points A and B separately. If area of the circle is 25 cm2, then find the length of AB.
 
8. In figure, if CP = 11 cm and BC = 7 cm, then find the length of BR.
CBSE Class 10 Mathematics Circles Worksheet Set F4
 
9. In the given figure , BOA is a diameter of a circle and the tangent at a point P meets BA produced at T. If ∠PBO = 30°, what is the measure of ∠PTA?
CBSE Class 10 Mathematics Circles Worksheet Set F5
 
10. In fig , a tangent PT is drawn parallel to a chord AB of a circle, as shown in given figure. Prove that APB is an isosceles triangle.
CBSE Class 10 Mathematics Circles Worksheet Set F6
 
SECTION C: 
 
1. In figure, a triangle ABC is drawn to circumscribe a circle of radius 10 cm such that the segments BP and PC into which BC is divided by the point of contact P, are of lengths 15 cm and 20 cm respectively. If the area of ΔABC is 525 cm2, then find the lengths of sides AB and AC.
CBSE Class 10 Mathematics Circles Worksheet Set F7
 
2. If angle between two tangents PT and QT drawn from a point T to a circle of radius r and centre O is 60⁰, then prove that PT = 3r.

 

Please click on below link to download CBSE Class 10 Mathematics Circles Worksheet Set F

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers And Polynomials Worksheet
CBSE Class 10 Mathematics Real Numbers Worksheet Set A
CBSE Class 10 Mathematics Real Numbers Worksheet Set B
CBSE Class 10 Mathematics Real Numbers Worksheet Set C
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mental Maths Real Numbers Worksheet
CBSE Class 10 Mental Maths Real Numbers Worksheet in Hindi
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set A
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set B
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mental Maths Polynomials Worksheet
CBSE Class 10 Mental Maths Polynomials Worksheet in Hindi
Chapter 03 Linear Equations
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set A
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set B
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set D
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set E
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set F
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set G
CBSE Class 10 Mental Maths Pair Of Linear Equations In Two Variables Worksheet
CBSE Class 10 Mental Maths Pair Of Linear Equations In Two Variables Worksheet in Hindi
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set B
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set D
CBSE Class 10 Mental Maths Quadratic Equations Worksheet
CBSE Class 10 Mental Maths Quadratic Equations Worksheet in Hindi
Chapter 05 Arithmetic Progression
CBSE Class 10 Arithmetic Progression Printable Worksheet Set A
CBSE Class 10 Arithmetic Progression Printable Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set D
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet in Hindi
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mental Maths Similar Triangles Worksheet
CBSE Class 10 Mental Maths Similar Triangles Worksheet in Hindi
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet in Hindi
Chapter 08 Trigonometry
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set B
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set C
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set D
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set F
CBSE Class 10 Trigonometry Printable Worksheet Set A
Chapter 09 Applications of Trigonometry
CBSE Class 10 Application of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set A
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set B
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set C
CBSE Class 10 Mental Maths Trigonometry And Its Applications Worksheet
CBSE Class 10 Mental Maths Trigonometry And Its Applications Worksheet in Hindi
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet in Hindi
Chapter 11 Construction
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet in Hindi
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A
Chapter 12 Areas related to Circles
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set B
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set D
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet in Hindi
Chapter 13 Surface Area and Volume
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set A
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set E
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet in Hindi
Chapter 14 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet in Hindi
Chapter 15 Probability
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Maths Probabilty Worksheet
z More Worksheets for Class 10 Mathematics
CBSE Class 10 Mathematics Question Bank
CBSE Class 10 Mathematics Worksheet Set A Solved
CBSE Class 10 Mathematics Worksheet Set B Solved
CBSE Class 10 Mathematics Worksheet Set C Solved
CBSE Class 10 Mathematics Worksheet Set D
CBSE Class 10 Mathematics Worksheet Set E
CBSE Class 10 Mathematics Worksheet Set F
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Chapter 10 Circles CBSE Class 10 Mathematics Worksheet

The above practice worksheet for Chapter 10 Circles has been designed as per the current syllabus for Class 10 Mathematics released by CBSE. Students studying in Class 10 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 10 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 10 Mathematics students to get all the latest study material free of cost. Teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter. We have also provided a lot of other Worksheets for Class 10 Mathematics which you can use to further make yourself better in Mathematics.

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