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Class 10,Mathematics, Circles ( Properties Of Tangents), CBSE Online Test Paper

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 __
 
 
 
 

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

4
 
 
 
 

Question 2 of 15

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

5
 
 
 
 

Question 3 of 15

4. In given figure, the length of BC is

6
 
 
 
 

Question 4 of 15

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

7
 
 
 
 

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
 
 
 
 

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.

2
 
 
 
 

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 :
 
 
 
 

Question 8 of 15

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

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:
 
 
 
 

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

3
 
 
 
 

Question 11 of 15

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

5
 
 
 
 

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

1
 
 
 
 

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:

2
 
 
 
 

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:
 
 
 
 

Question 15 of 15


 

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