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

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

Chivvy (Class VII - English Honeycomb - Chapter 4)

NCERT Textbook Exercise Questions (Important only) Working with the Poem Q.2: The last two lines of the poem are not prohibitions or instructions. What is the adult now asking the child to do? Do you think the poet is suggesting that this is unreasonable? Why? Ans: In the last two lines the adults are asking the child to think himself and to be independent in taking decisions in some matters. The adults are asking to be firm and determined which is unreasonable because they themselves don’t allow the child to take any decision. They always tell him what to do or what not to do. So, their asking the child to make up his own mind is totally unreasonable. Q.3: Why do you think grown-ups say the kind of things mentioned in the poem? Is it important that they teach children good manners, and how to behave in public? Ans: The grown-ups say such kind of things to their children in order to teach those good manners, etiquettes and how to behave in public. It is important to teach the children ...
30 comments
Read more

POLITICAL SCIENCE CLASS X CBSE - POLITICAL PARTIES

POLITICAL SCIENCE CLASS X CBSE POLITICAL PARTIES CHALLENGES TO POLITICAL PARTIES We know that how crucial political parties are for the democracy. They are the most visible face of the democracy and people blame them for whatever is wrong in the working of democracy. This is a case of our country too. Popular dissatisfaction and criticism has focused on four problem areas in the working of political parties. 1. LACK OF INTERNAL DEMOCRACY (with in the party): all over the world there is a tendency in the political parties towards the concentration of power in one or few leaders at the top. --parties do not keep membership registers, do not hold organizational meetings and conduct internal elections regularly. --ordinary members do not get sufficient information on what happens inside the party. --leaders assume greater power to make decisions in the name of party. --more than loyalty to the party principles and policies, personal loyalty to the lead...
12 comments
Read more