Skip to main content

Circles

Sample Paper – 2010
Class – X
Subject - Mathematics

 

1

A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

5 cm

2

In figure if AB=AC, prove that BE=EC.  

 

 

3

In fig. AQ and AR are tangents from A to the circle with centre O. P is a point on the circle. Prove that AB+BP=AC+CP  

 

4

In fig. ABC is a right-angled at B such that BC=6 cm and AB=8 cm. Find the radius of its incircle. 

  

 

5

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

 

6

Prove that the segment joining the points of contact of two parallel tangents passes through the centre.

 

7

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

 

8

A circle is touching the side BC of  at P and touching AB and AC produced at Q and R respectively. Prove that

 

 

 

 

BRCM PUBLIC SCHOOL,BAHAL

PRACTICE SET - 3

Circles

 

9

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

 

10

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 an 6 cm respectively. Find the sides AB and AC. 

             

 

11

Prove that, the tangent at any point of a circle is perpendicular to the radius through point of contact.

 

12

Prove that, the length of tangents drawn from external point to circle is equal.

 

13.

The in circle of ABC Touches the sides BC, CA and AB at D, E and F respectively. Show that AF + BD + CE = AE + BF + CD =

 

14.

Prove that the tangents at the extremities of any chord make equal angles with the chord.

 

15.



A circle is inscribed in a ABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Find AD, BE and CF

AD=7 cm

BE = 5 cm

CF = 3 cm

16.

Show that tangent lines at the end points of a diameter of a circle are parallel.

 

17.



If AQ, AR,  BC are tangents. And AQ = 5 cm, Find the perimeter of ABC.                                                                            

 

18.

A circle touches the sides of a quadrilateral ABCD at P, Q, R, S respectively. Show that the angles subtended at the center by a pair of opposite sides are supplementary.

 

 

 

 

 

 


Labels:

Comments

Post a Comment

Popular posts from this blog

The Missing Mail | Class IX - Interact in English

NCERT / CBSE Literature Reader for English Course (Communicative) Important Exercise Questions Q.3: (a) Why is Ramanujam worried about getting his daughter married? Give four reasons. (b) How does the postman console and guide Ramanujam and his family during each of the instances you have listed in 3 (a)? Ans 3(a): Ramanujam is worried as he could not find a suitable match to marry his daughter off which was getting delayed because of different reasons. The four causes of his worriedness are - (i) Sometimes horoscopes did not match, (ii) Sometimes the girl’s appearance were not approved, (iii) At times there were problems of too much dowry and other financial matters, (iv) The season was closing with only three more auspicious dates left, whereas, he was not able to finalise any alliance by that time. Ans 3(b): First instance - When Ramanujam said that horoscopes did not agree Thanappa consoled and guided him by saying that he should not utter inauspicious words and when the God wills ...
Post a Comment
Read more

The Tribute - Multiple Choice Questions

Question (1):   What does the word 'petite' mean? 1. strong 2. small 3. neat 4. clean Ans:   2 Question (2):   What was almost a routine affair for Babuli during his student days? 1. working in the city 2. writing to his elder brother 3. going home in the rickety bus 4. reading big books Ans:   3 Question (3):   What was written in the elder brother's letter? 1. That they were missing him in the village 2. That there was to be a partition 3. That there was a festival 4. That he would get money Ans:   2 Question (4):   How many days were left for the partition? 1. A week 2. A month 3. A day 4. Three days Ans:   1 Question (5):   How much money was expected for Babuli's land? 1. Seven thousand 2. Twenty thousand 3. Ten thousand 4. Forty thousand Ans:   2 Question (6):   What makes Babuli think of the butcher? 1. Hunger 2. Wife's heartlessness 3. The i...
Post a Comment
Read more

ENGLISH (Communicative) Sample Question Paper 5

Sample Paper – 2009 Class – XSubject – ENGLISH (Communicative) General instructions: The paper consist of FOUR sections: SECTION A (READING) - 20 Marks SECTION B (WRITING) - 30 Marks SECTION C (GRAMMAR) - 20 Marks SECTION D (LITERATURE) - 30 Marks Attempt all the questions. Do not write anything on the question paper. All the answers must be correctly numbered as in the question paper. And written in the answer sheets provided to you. Attempt all questions in each section before going on to the next section. Read each question carefully and follow the instructions. Strictly adhere to the word limit given with each question. Marks will be deducted for exceeding the word limit. SECTION A (READING) – 20 MARKS A1. Read the following passage and answer the following questions: [12] THE TUITION TRAP 1. Given the general awareness of the woeful condition of our State sch...
1 comment
Read more