Courses

Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev

Mathematics (Maths) Class 12

Commerce : Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev

 Page 1




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

 	

 
 !"#$%$&'()*+,-
- 
 	

	 
 










 ./
$0% 123145
($% (()1
./%#
#161*+,4*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	  
!"
Page 2




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

 	

 
 !"#$%$&'()*+,-
- 
 	

	 
 










 ./
$0% 123145
($% (()1
./%#
#161*+,4*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	  
!"  	 
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

 					*+"%&						(			 )		
	
 			
	*+"%&						(			 )	
	
 %&	 ,	-.		
	 					'	 ,)




 	
 
				
 
	!"	!	!#	
	
 
	
#"	!	!#		
	
 

	
#"	!	!#	
	
 
	
	
$%$%	#
Page 3




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

 	

 
 !"#$%$&'()*+,-
- 
 	

	 
 










 ./
$0% 123145
($% (()1
./%#
#161*+,4*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	  
!"  	 
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

 					*+"%&						(			 )		
	
 			
	*+"%&						(			 )	
	
 %&	 ,	-.		
	 					'	 ,)




 	
 
				
 
	!"	!	!#	
	
 
	
#"	!	!#		
	
 

	
#"	!	!#	
	
 
	
	
$%$%	#
 	  
!"
 
#!$"%&

!	"

#



$
'

	()*(
 $$$1%4#73
A  5 
8
T
AA 
-$ 
%$
	
		&


	
A  5 
#
	
T
AA 
 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"9
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

   a
?
! b
?
 a
?
! b
?
("
2:%8a  2 b
?
?

$;
% a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	'
Page 4




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

 	

 
 !"#$%$&'()*+,-
- 
 	

	 
 










 ./
$0% 123145
($% (()1
./%#
#161*+,4*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	  
!"  	 
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

 					*+"%&						(			 )		
	
 			
	*+"%&						(			 )	
	
 %&	 ,	-.		
	 					'	 ,)




 	
 
				
 
	!"	!	!#	
	
 
	
#"	!	!#		
	
 

	
#"	!	!#	
	
 
	
	
$%$%	#
 	  
!"
 
#!$"%&

!	"

#



$
'

	()*(
 $$$1%4#73
A  5 
8
T
AA 
-$ 
%$
	
		&


	
A  5 
#
	
T
AA 
 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"9
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

   a
?
! b
?
 a
?
! b
?
("
2:%8a  2 b
?
?

$;
% a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	'
+ 	 
+ A  
12
31
??
??
??


!
14
B  
32
??
??
??



8$(9"$ 
%A  
12
31
??
??
??


	
14
B  
32
??
??
??



#$(
 
03
A  
25
??
??
??


!
04a
KA  
85b
??
??
??


8!	9"$ 
%
03
A  
25
??
??
??


	
04a
KA  
85b
??
??
??



	
		
	  a
?
#
b
?

1
  ,
a
2
?


4
  
b
3
?

#
  
  
1
ab
3
? ?

 8
.
a  b
? ?
 
9"$ 
%
 a
?
	
b
?
	


	
1
  ,
a
2
?


4
  
b
3
?

	
  
  
1
ab
3
? ?


#

.
a  b
? ?
 

 %
#!$"%,

!-."

#


+
$
'

-.()+*
(
- <

xx
x
xx
x
x
?
?
?
?
?
?
?




3
k sin (  1),     0
2
()  
tan   sin 
,    > 0
f 89"$ 
"#
xx
x
xx
x
x
?
?
?
?
?
?
?




3
k sin (  1),     0
2
()  
tan   sin 
,    > 0
f 

	
Page 5




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

 	

 
 !"#$%$&'()*+,-
- 
 	

	 
 










 ./
$0% 123145
($% (()1
./%#
#161*+,4*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	  
!"  	 
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

 					*+"%&						(			 )		
	
 			
	*+"%&						(			 )	
	
 %&	 ,	-.		
	 					'	 ,)




 	
 
				
 
	!"	!	!#	
	
 
	
#"	!	!#		
	
 

	
#"	!	!#	
	
 
	
	
$%$%	#
 	  
!"
 
#!$"%&

!	"

#



$
'

	()*(
 $$$1%4#73
A  5 
8
T
AA 
-$ 
%$
	
		&


	
A  5 
#
	
T
AA 
 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"9
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

   a
?
! b
?
 a
?
! b
?
("
2:%8a  2 b
?
?

$;
% a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	'
+ 	 
+ A  
12
31
??
??
??


!
14
B  
32
??
??
??



8$(9"$ 
%A  
12
31
??
??
??


	
14
B  
32
??
??
??



#$(
 
03
A  
25
??
??
??


!
04a
KA  
85b
??
??
??


8!	9"$ 
%
03
A  
25
??
??
??


	
04a
KA  
85b
??
??
??



	
		
	  a
?
#
b
?

1
  ,
a
2
?


4
  
b
3
?

#
  
  
1
ab
3
? ?

 8
.
a  b
? ?
 
9"$ 
%
 a
?
	
b
?
	


	
1
  ,
a
2
?


4
  
b
3
?

	
  
  
1
ab
3
? ?


#

.
a  b
? ?
 

 %
#!$"%,

!-."

#


+
$
'

-.()+*
(
- <

xx
x
xx
x
x
?
?
?
?
?
?
?




3
k sin (  1),     0
2
()  
tan   sin 
,    > 0
f 89"$ 
"#
xx
x
xx
x
x
?
?
?
?
?
?
?




3
k sin (  1),     0
2
()  
tan   sin 
,    > 0
f 

	
 	  
!"
/ 
() 
x
xx


1
sin 2 sin 3 =#1
"$ 
&
      
 
      
xx
xx
??
??
??
??

 
 
22
1
22
11
tan
11





=#1
"$ 
)	
() 
x
xx


1
sin 2 sin 3



"
)	
      
 
      
xx
xx
??
??
??
??

 
 
22
1
22
11
tan
11








. "
, ab
? ?
!
c
?
$>(a  b  c
? ??
 $
###
9"$>=<

56
	 pr a    q  , ij k
?? ?
?
 
    3  bs 4 ij k
?? ? ?
  !c  3    2 ij k
?? ?
?
  
*
	
 , ab,
? ?
c
?
		


	a  b  c
? ??
 "###




				
56
pr a    q  , ij k
?? ?
?
     3  bs 4 ij k
?? ? ?
  	
c  3    2 ij k
?? ?
?
 
0 !
$#( !
$<#+

%!(!
+<#


% "%?)"$!
@,!(A
"%"
#"%"1<!$

9"$1!
(

"%4!" 
!
		
$	((	$	

	+	

	

	(	
+
		
!
	
				
,
	-
	
		
	
"
	 
	

		(
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!
Download EduRev app here for Commerce preparation.

Up next

Author
Tarun Kaushik
Views
304
Rating
4.9
Description
Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev notes for Commerce is made by best teachers who have written some of the best books of Commerce. It has gotten 304 views and also has 4.9 rating. You can download Free Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev pdf from EduRev by using search above. You can also find Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev ppt and other Commerce slides as well. If you want Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev Tests & Videos, you can search for the same too. Commerce Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev Summary and Exercise are very important for perfect preparation. You can see some Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev sample questions with examples at the bottom of this page. Complete Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev chapter (including extra questions, long questions, short questions, mcq) can be found on EduRev, you can check out Commerce lecture & lessons summary in the same course for Commerce Syllabus. EduRev is like a wikipedia just for education and the Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev images and diagram are even better than Byjus! Do check out the sample questions of Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev for Commerce, the answers and examples explain the meaning of chapter in the best manner. This is your solution of Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev search giving you solved answers for the same. To Study Past Year Paper, Mathematics (Set - 12), Outside Delhi, 2016, Class 12, Maths Commerce Notes | EduRev for Commerce this is your one stop solution.

Related Searches

Summary

,

Important questions

,

pdf

,

mock tests for examination

,

Class 12

,

ppt

,

Exam

,

shortcuts and tricks

,

Outside Delhi

,

past year papers

,

MCQs

,

2016

,

Class 12

,

Sample Paper

,

Viva Questions

,

Mathematics (Set - 12)

,

Previous Year Questions with Solutions

,

Maths Commerce Notes | EduRev

,

video lectures

,

Maths Commerce Notes | EduRev

,

Objective type Questions

,

Outside Delhi

,

Semester Notes

,

Class 12

,

Extra Questions

,

Mathematics (Set - 12)

,

Past Year Paper

,

study material

,

Outside Delhi

,

practice quizzes

,

2016

,

Past Year Paper

,

Mathematics (Set - 12)

,

Maths Commerce Notes | EduRev

,

2016

,

Free

,

Past Year Paper

;
Follow Us
© EduRev