CBSE Class 10 Circles Sure Shot Questions

Read and download free pdf of CBSE Class 10 Circles Sure Shot Questions. Students and teachers of Class 10 Mathematics can get free advanced study material, revision notes, sure shot questions and answers for Class 10 Mathematics prepared as per the latest syllabus and examination guidelines in your school. Class 10 students should download this study material which will give them more knowledge for all chapters in Mathematics and all important topics which are scoring and can get you more marks. Students should also download free pdf of Chapter wise Notes for Class 10 Mathematics prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this year and also download free worksheets and question papers available here to get higher scores in school exams and tests, also click here for more Study Material for Class 10 Mathematics

Study Material for Class 10 Mathematics Chapter 10 Circles

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

Class 10 Mathematics Chapter 10 Circles

 

CBSE Class 10 Circles Sure Shot Questions. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

1. Prove that “The tangent at any point of a circle is perpendicular to the radius through the point of contact”.

2. Prove that “The lengths of tangents drawn from an external point to a circle are equal.”

3. Prove that “The centre lies on the bisector of the angle between the two tangents drawn from an external point to a circle.”

4. Find the length of the tangent drawn to a circle of radius 3 cm, from a point distant 5 cm from the centre.

5. A point P is at a distance 13 cm from the centre C of a circle and PT is a tangent to the given circle. If PT = 12 cm, find the radius of the circle.

6. From appoint Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre of the circle is 25 cm. Find the radius of the circle.

7. The tangent to a circle of radius 6 cm from an external point P, is of length 8 cm. Calculate the distance of P from the nearest point of the circle.

8. Prove that in two concentric circles, the chord of the bigger circle, which touches the smaller circle is bisected at the point of contact.

9. ΔPQR circumscribes a circle of radius r such that angle Q = 900 , PQ = 3 cm and QR = 4 cm. Find r.

10. Prove that the parallelogram circumscribing a circle is a rhombus.

OR

If all the sides of a parallelogram touch the circle, show that the parallelogram is a rhombus.

11. ABC is an isosceles triangle in which AB = AC, circumscribed about a circle. Show that BC is bisected at the point of contact.

12. In Fig., a circle is inscribed in a quadrilateral ABCD in which <B=900 . If AD = 23 cm, AB = 29 cm and DS = 5 cm, find the radius (r) of the circle. 

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CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

24. Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that PTQ = 2OPQ.

25. PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length TP.

26. Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

27. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

28. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

29. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC

30. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

31. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
OR
A circle touches all the four sides a quadrilateral ABCD. Prove that the angles subtended at the centre of the circle by the opposite sides are supplementary.

32. PA and PB are the two tangents to a circle with centre O in which OP is equal to the diameter of the circle. Prove that APB is an equilateral triangle.

33. Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the center of the circle.

34. If PQ and RS are two parallel tangents to a circle with centre O and another tangent X, with point of contact C intersects PQ at A and RS at B. Prove that AOB = 90o.

35. The incircle of ΔABC touches the sides BC, CA and AB at D, E and F respectively. If AB = AC, prove that BD = DC.

36. Two tangents PA and PB are drawn to the circle with center O, such that ΔAPB = 1200. Prove that OP = 2AP.

37. A circle is touching the side BC of ΔABC at P and is touching AB and AC when produced at Q and R respectively. Prove that AQ = ½ (Perimeter of Δ ABC).

38. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm
respectively. Find the sides AB and AC.

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

CBSE Class 10 Circles Sure Shot Questions

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CBSE Class 10 Mathematics Chapter 10 Circles Study Material

We hope students liked the above Study Material for Chapter 10 Circles designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Study Material in Pdf format, read the notes and related questions and solutions given in above Class 10 Mathematics Study Material on daily basis. All latest Study Material have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 10 students to get all latest study material free of cost.

Study Material for Mathematics CBSE Class 10 Chapter 10 Circles

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Chapter 10 Circles Study Material Mathematics CBSE Class 10

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Chapter 10 Circles CBSE Class 10 Study Material Mathematics

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CBSE Study Material Mathematics Class 10 Chapter 10 Circles

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