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 = 110^o, then find ∠ PTQ. 

 

Ans- 

MCQ

1. Number of tangents that can be drawn through a point on the circle is

(a) 3

(b) 2

(c) 1

(d) 0

2. The word tangent came from the Latin word

(a) tang

(b) tangere

(c) tangrant

(d) axyere

3. The word tangent was introduced by

(a) De Moivre

(b) Aryabhata

(c) Disradi

(d) Thomas Fincke

4. Number of tangents to circle which are parallel to a secant is

(a) 1

(b) 2

(c) 3

(d) infinite

5. C(0, r1) and C(0, r2) are two concentric circles with r1 > r2. AB is a chord of (0, r1) touching C(0, r2) at c then

(a) AB = r1

(b) AB = r2

(c) AB = BC

(d) AB = r1 + r2

6. From a point Q, the length of the tangent to a circle is 12 cm and the distance of Q from the centre is 13 cm. The radius of circle

(a) 7 cm

(b) 6.5 cm

(c) 5 cm

(d) 9 cm

7. TP and TQ are two tangents to a circle with centre O, so that ∠POQ = 100^o, then ∠PTQ is equal to

(a) 60^o

(b) 70^o

(c) 80^o

(d) 90^o

8. TP and TQ are two tangents to a circle with centre O, so that ∠POQ = 120o, OPT is equal to

(a) 50^o

(b) 60^o

(c) 80^o

(d) 90^o

9. Two concentric circles are of radii 13 cm and 15 cm. The length of chord of a larger circle which touches the smaller circle is

(a) 12 cm

(b) 20 cm

(c) 24 cm

(d) 26 cm

10. A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 12 cm, BC = 15 cm, CD = 14 cm, then AD is equal to

(a) 10 cm

(b) 11 cm

(c) 12 cm

(d) 14 cm

11. A triangle ABC is drawn to circumscribe a circle. If AB = 13 cm, BC = 14 cm and AE = 7 cm, then AC is equal to

(a) 12 cm

(b) 15 cm

(c) 11 cm

(d) 16 cm

12. A right ΔABC right angled at A arawn to circumscribe a circle of radius 5 cm with centre O. If AB = 17 cm, AB = 18 cm, then OC is equal to

Please click the below link to access CBSE Class 10 Mathematics Circles Worksheet Set E