CBSE Class 10 Mathematics Circles VBQs Set A

CBSE Class 10 Mathematics Circles VBQs Set A CIRCLE 1. There are 3 villages A, B and C such that the distance from A to B is 7 km, from B to C is 5 km and from C to A is 8 km. The gram pradhan wants to dig a well in such a way that the distance from each villages are equal.…

NCERT Solutions Class 10 Mathematics Chapter 10 Circles

Exercise 10.1 Q.1) How many tangents can a circle have? Sol.1) A circle can have infinite tangents. Q.2) Fill in the blanks : (i) A tangent to a circle intersects it in ............... point(s). (ii) A line intersecting a circle in two points is called a ............. (…

CBSE Class 10 Mathematics Circles Notes Set B

  CIRCLES BASIC CONCEPTS RELATED TO CHAPTER You might have seen many objects that are circular in shape. · A circle is defined as the collection of all the points on a plane that are at equal distance from a given fixed point on the plane. · This fixed point is called…

CBSE Class 10 Mathematics Circles MCQs

Question : The common point of a tangent to a circle with the circle is called (a) Centre (b) point of contact (c) end point (d) none of these. Answer : B Question : A tangent PQ at a point P of a circle of radius 5 cm meets a line through the Centre O at a point…

CBSE Class 10 Mathematics Circles Worksheet Set F

  CBSE Class 10 Circles (6). Students can download these worksheets and practice them. This will help 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…

CBSE Class 10 Mathematics Circles Worksheet Set H

  Circles Q.-A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ.    Ans- Given: In a circle a chord PQ and a tangent MRN at R such that QP || MRN To prove: R bisects the arc PRQ.…

CBSE Class 10 Mathematics Circles Worksheet Set G

  CIRCLES Q.- If radii of two concentric circles are 4 cm and 5 cm, then the length of the chord of one circle which is tangent to the other circle is:  a. 9 cm b. 3 cm c. 1 cm d. 6 cm Ans- d. 6 cm Explanation: Here OC is perpendicular to AB. Then OC…

CBSE Class 10 Mathematics Circles Worksheet Set E

  CIRCLE Q.- In figure, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110o, then find ∠ PTQ.    Ans- ∠POQ = 110o ∠OPT = 90o [Angle between tangent and radius through the point of contact] ∠OQT = 90o [Angle between…

CBSE Class 10 Mathematics Circles Worksheet Set D

  Circles Q.- If O is the centre of a circle, PQ is a chord and tangent PR at P makes an angle of with PQ, then POQ is equal to  a. 110° b. 120° c. 100° d. 90°   Ans- b. 120° Explanation: Here RPO = 90° ∠RPQ = 60° (given) ∴ ∠OPQ = 90° - 60° = 30°…

CBSE Class 10 Mathematics Circles Worksheet Set C

  Circles    Q.- The perimeter of Δpqr in the given figure is  a. 15 cm b. 60 cm c. 45 cm d. 30 cm.    Ans- d. 30 cm.  Explanation Since Tangents from an external point to a circle are equal.  ∴PA = PB = 4 cm,  BR…

CBSE Class 10 Mathematics Circles Worksheet Set B

Question. In Fig. 10.3, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to: (A) 2 cm (B) 3 cm (C) 4 cm (D) 5 cm Answer : As perpendicular from the centre to a chord bisect the chord, Question. In Fig.10.4, if ∠ABC = 20º, then ∠AOC is…

CBSE Class 10 Mathematics Circles Worksheet Set A

Question. AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is: (A) 17 cm (B) 15 cm (C) 4 cm (D) 8 cm   Answer : Draw OP ⊥ AB. As perpendicular from the centre to a chord bisect the chord,…

CBSE Class 10 Mathematics Circles Notes Set A

  Class-X Chapter 10: Circles Top Definitions  1. A tangent to a circle is a line that intersects the circle only at one point. 2. The common point of the circle and the tangent is called point of contact. 3. The length of the segment of the tangent from the…

CBSE Class 10 Mathematics Circles Assignment Set B

            Please click the link below to download CBSE Class 10 Mathematics Circles Assignment Set B

CBSE Class 10 Mathematics Circles VBQs

VALUE BASED QUESTIONS. Class : X Subject : Mathematics. Topic: Circles. Question. A group of students of the Heritage Club of a college took up the work of restoring an old circular shaped monument in their neighbourhood. To help them in their work a rope of 10m length was…