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Maths 04

1. Find the values of k for which the quadratic equation (k - 5)x^2 + 2(k - 5)x + 2 = 0 has real roots. 2. Find the y-coordinate of the point that divides the line segment between points (2, -3) and (10, y) in the ratio 10:1. 3. Express the cube root of 3125 in the form a/b where a and b are integers and b is as small as possible. 4. Write the first few terms of the sequence defined by k, k+1/k, (k+1)(k
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0% found this document useful (0 votes)
41 views8 pages

Maths 04

1. Find the values of k for which the quadratic equation (k - 5)x^2 + 2(k - 5)x + 2 = 0 has real roots. 2. Find the y-coordinate of the point that divides the line segment between points (2, -3) and (10, y) in the ratio 10:1. 3. Express the cube root of 3125 in the form a/b where a and b are integers and b is as small as possible. 4. Write the first few terms of the sequence defined by k, k+1/k, (k+1)(k
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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SET – 4

Series : TYM  . 40(B)


Candidates must write the
  Code on the title page of
the answer-book.

             8   
         .        
  
          30   
           ( ) 
 
       15          
10.15     10.15   10.30      
              
 Please check that this question paper contains 8 printed pages.
 Code number given on the right hand side of the question paper
should be written on the title page of the answer-book by the
candidate.
 Please check that this question paper contains 30 questions.
 Please write down the Serial Number of the question before
attempting it.
 15 minute time has been allotted to read this question paper. The
question paper will be distributed at 10.15 a.m. From 10.15 a.m. to
10.30 a.m., the students will read the question paper only and will
not write any answer on the answer-book during this period.

40(B) 1 [P.T.O.

(    )
( )
MATHEMATICS
(FOR BLIND CANDIDATES ONLY)
(Punjabi Version)

  : 3    : 80


Time allowed : 3 hours Maximum Marks : 80

  :
(i)     
(ii)     30       – , ,     
  
(iii)    -   6       6   
    -        10     
-       8       - 
  
(iv)            3   4  
 4   3           
               

40(B) 2
 – 

  1  6     1    

1. k           (k – 5)x2 + 2(k – 5)


x + 2 = 0     

2. y        


  (2, –3)  (10, y)   
10   

13
3.    3125          

1 1 + k 1 + 2k
4.    k , k , , …..  m   
k

5.  sin  + cos  = 2 cos (90 – ) ,  cot      

6.  ABC   BC           


AB
AB  D  AC  E    ,  = 4 , 
BD
CE = 2 : ,  AE     

 – 

  7  12      2   

7.    5             
   ,          ,  
        
40(B) 3 [P.T.O.
8.        15    13  –17  
     21      

9.    (Euclid’s Division Algorithm)  


 255  867  :: (HCF)   

10.   (0, 2)  (3, k)  (k, 5)     ,  k  
  

11. ‘a’          2x + 3y = 7 
4x + ay = 14,     

12.         ()     
         :
(i)    
(ii)       

 – 

  13  22     3    

13.      (odd)   4q + 1  4q + 3    ,


  q    

14.                
    ,    36      
 
40(B) 4
15.   A(2, 1)  B(5, –8)        P  Q
     ,    P  A     
 P  2x – y + k = 0   ,  k     

 P  x-   y-        P
  Q(2, –5)  R(–3, 6)       P  -
  

1
16.   1,  –2   2x3 + x2 – 5x + 2    
2

17.              
     
          
      

18. PQR   PR  QR     S  T  
    P =  RTS      RPQ ~  RTS

    ABC   BC   D     
1
BD = BC     9AD2 = 7AB2
3

1 1 1 – 1
19.    – =
cosec  + cot  sin  sin  cosec  – cot 

 tan  + sin  = m  tan  – sin  = n    
m2 – n2 = 4 mn

20.  ,    15 ::     ()  


  60       (Major)    
(Minor)      
( = 3.14  3 = 1.73 )
40(B) 5 [P.T.O.
21. 12 ::,     ,     (
)        ,     
         ,     
5
3 ::            
9

 ,      - ,  
(), 4 ::           
       

22.    50        :


 
 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
(`)
 
12 14 8 6 10

     (Mean)   (Mode)   

 – 

  23  30     4    

23.         6         
           9   
                
    

x+1–x–1 5
x     = ; x  1, –1
x–1 x+1 6
40(B) 6
24.               
       

     ,     ,     
  ,          

25.   ABC   BC = 8 ::,  B = 45   C = 30


                
3
 ABC     4   

26.       n    5n2 + 3n     m
  168 ,  m         20     

           11  89  
     30  ,       
 23     

 sin A
– 1 – cos A .  cos A – 1 – sin A = 4.
  
27.    : 
1 – cos A sin A  1 – sin A cos A 

28.       1.46 :        
        60         
  45         ( 3 = 1.73 )

29.               


  3             0.7 .
  2 .       ()     
 ` 350  3    ,       
22
           ? ( = 7 )

40(B) 7 [P.T.O.
30.     (Median) 52.5      
100 ,  x  y     :
 
0 – 10 2
10 – 20 5
20 – 30 x
30 – 40 12
40 – 50 17
50 – 60 20
60 – 70 y
70 – 80 9
80 – 90 7
90 – 100 4
____________

40(B) 8

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