MCQ Class 10 Maths Circles Properties Of Tangents

1. There will be total 15 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. PT is a tangent from an external point P and PAB is a secant. If PT = 6cm and PA = 3cm, then the length of PB is __

6

36

12

2

Your comments:

Question 1 of 15

2. A circle is inscribed in a ΔABC having AB= 10cm, BC = 12cm and CA = 8cm and touching these sides at D, E, F respectively. The lengths of AD, BE and CF will be

AD = 4cm, BE = 6cm, CF = 8cm

AD = 5cm, BE = 9cm, CF = 4cm

AD = 3cm, BE = 7cm, CF = 5cm

AD = 2cm, BE = 6cm, CF = 7cm

Your comments:

Question 2 of 15

3. In the given figure, AR=5cm, BR=4cm and AC =11cm. What is the length of BC?

6 cm

10 cm

4 cm

8 cm

Your comments:

Question 3 of 15

4. In given figure, the length of BC is

10 cm

4 cm

6 cm

8 cm

Your comments:

Question 4 of 15

5. In the given figure, if the length of AB is 6 cm, the length of AD is

8 cm

2 cm

4 cm

6 cm

Your comments:

Question 5 of 15

6. In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is

1/ √2 AB

1/2 AB

√2 AB

2 AB

Your comments:

Question 6 of 15

7. If in the given figure radius of smaller and larger circles be 4 and 5 cm. Find the length of chord AB.

12 cm

8 cm

6 cm

10 cm

Your comments:

Question 7 of 15

8. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

√119 cm

13 cm

12 cm

8.5 cm

Your comments:

Question 8 of 15

9. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is

2

4

1

3

Your comments:

Question 9 of 15

10. In a circle of radius 7cm, tangent PT is drawn from point P such that PT= 24cm. If O is the centre of the circle, then the length of OP is:

30cm

31cm

28cm

25cm

Your comments:

Question 10 of 15

11. In the figure, PQ is a tangent at a point R of the circle with centre O. If ∠TRQ = 30°.The measure of ∠PRS is

45°

120°

90°

60°

Your comments:

Question 11 of 15

12. In the given figure, length of BC is:

15 cm

10 cm

13 cm

21 cm

Your comments:

Question 12 of 15

13. ABC is a right triangle right angled at B such that BC = 6 cm and AB = 8 cm. The radius of its incircle is

3 cm

8 cm

2 cm

5 cm

Your comments:

Question 13 of 15

14. Quadrilateral ABCD circumscribes a circle as shown in figure. The side of the quadrilateral which is equal to AP + BR is:

AD

BC

AB

AC

Your comments:

Question 14 of 15

15. If the angle between two radii of a circle is 100o, then angle between the tangents at the ends of those radii is:

80°

90°

60°

50°

Your comments:

Question 15 of 15

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