JEE Exam  >  JEE Notes  >  Mathematics (Maths) Class 12  >  Past Year Paper, Mathematics (Set - 10), Outside Delhi, 2016, Class 12, Maths

Past Year Paper, Mathematics (Set - 10), Outside Delhi, 2016, Class 12, Maths | Mathematics (Maths) Class 12 - JEE PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 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*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	 
 !  	
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

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


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

!	"

#



$
'

	()*(
  a
?
#
b
?

1
  ,
a
2
?


4
  
b
3
?

#
  
  
1
ab
3
? ?

 7
.
a  b
? ?
 
8"$ 
$
 a
?
	
b
?
	


	
1
  ,
a
2
?


4
  
b
3
?

	
  
  
1
ab
3
? ?


#

.
a  b
? ?
 

  a
?
! b
?
 a
?
! b
?
("
29%7a  2 b
?
?

$:
$ a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	%
" 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"8
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

Page 4




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

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






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


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	 
 !  	
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

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


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

!	"

#



$
'

	()*(
  a
?
#
b
?

1
  ,
a
2
?


4
  
b
3
?

#
  
  
1
ab
3
? ?

 7
.
a  b
? ?
 
8"$ 
$
 a
?
	
b
?
	


	
1
  ,
a
2
?


4
  
b
3
?

	
  
  
1
ab
3
? ?


#

.
a  b
? ?
 

  a
?
! b
?
 a
?
! b
?
("
29%7a  2 b
?
?

$:
$ a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	%
" 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"8
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

+ 	
+ &$$1%4#;3
A  5 
7
T
AA 
-$ 
$&
	
		'


	
A  5 
#
	
T
AA 
 A  
12
31
??
??
??


!
14
B  
32
??
??
??



7&(8"$ 
$A  
12
31
??
??
??


	
14
B  
32
??
??
??



#&(
	 
03
A  
25
??
??
??


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


7!	8"$ 
$
03
A  
25
??
??
??


	
04a
KA  
85b
??
??
??



	
		
 %
# $!%,

!-."

#


+
$
'

-.()+*
(
- 
() 
x
xx


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

 
 
22
1
22
11
tan
11





<#1
"$ 
Page 5




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

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






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


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


 	 
 !  	
	

 	
 			 		!
	"#				
 					 $"%&	' 				(			 )		

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


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

!	"

#



$
'

	()*(
  a
?
#
b
?

1
  ,
a
2
?


4
  
b
3
?

#
  
  
1
ab
3
? ?

 7
.
a  b
? ?
 
8"$ 
$
 a
?
	
b
?
	


	
1
  ,
a
2
?


4
  
b
3
?

	
  
  
1
ab
3
? ?


#

.
a  b
? ?
 

  a
?
! b
?
 a
?
! b
?
("
29%7a  2 b
?
?

$:
$ a
?
	
b
?
	
#

	

	 a
?
	 b
?

a  2 b
?
?
 	%
" 
r2  3  6  4  0
.
ij k
?? ? ?
  () !r 6  9  18  30  0 j
.
ik
?? ? ?
   () ("
3"8
"$ 
" 
 
	  
 	
 r2  3  6  4  0
.
ij k
?? ? ?
  ()  	
r 6  9  18  30  0 j
.
ik
?? ? ?
   ()

+ 	
+ &$$1%4#;3
A  5 
7
T
AA 
-$ 
$&
	
		'


	
A  5 
#
	
T
AA 
 A  
12
31
??
??
??


!
14
B  
32
??
??
??



7&(8"$ 
$A  
12
31
??
??
??


	
14
B  
32
??
??
??



#&(
	 
03
A  
25
??
??
??


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


7!	8"$ 
$
03
A  
25
??
??
??


	
04a
KA  
85b
??
??
??



	
		
 %
# $!%,

!-."

#


+
$
'

-.()+*
(
- 
() 
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








/ =

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




3
k sin (  1),     0
2
()  
tan   sin 
,    > 0
f 78"$ 
"#
xx
x
xx
x
x
?
?
?
?
?
?
?




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



*(4	

7#>
("28
"$ 
"		
	



	


	

	


0 8"$?
()
x
x
xx
?


 
1  sin 
d
sin  1  sin 
"*
()
x
x
xx
?


 
1  sin 
d
sin  1  sin 
Read More
204 videos|288 docs|139 tests

Up next

FAQs on Past Year Paper, Mathematics (Set - 10), Outside Delhi, 2016, Class 12, Maths - Mathematics (Maths) Class 12 - JEE

1. What are the important topics to study in the Mathematics Class 12 exam?
Ans. The important topics to study for the Mathematics Class 12 exam include calculus, algebra, probability, coordinate geometry, and vectors. These topics are crucial as they carry significant weightage in the exam and require a thorough understanding and practice.
2. How can I effectively prepare for the Mathematics Class 12 exam?
Ans. To effectively prepare for the Mathematics Class 12 exam, it is important to first understand the concepts and then practice solving a variety of problems. Make a study schedule, allocate time to each topic, and solve previous year papers and sample papers to get acquainted with the exam pattern. Seeking help from teachers or joining coaching classes can also be beneficial.
3. What are some tips to score well in the Mathematics Class 12 exam?
Ans. To score well in the Mathematics Class 12 exam, it is important to practice regularly, revise the concepts thoroughly, and solve as many sample papers and previous year papers as possible. Additionally, focus on understanding the problem-solving techniques, avoid making silly mistakes, and manage time effectively during the exam.
4. Are there any specific formulas or theorems I should memorize for the Mathematics Class 12 exam?
Ans. Yes, there are several important formulas and theorems that you should memorize for the Mathematics Class 12 exam. Some of these include the quadratic formula, Pythagorean theorem, laws of logarithms, differentiation formulas, integration formulas, and theorems like the fundamental theorem of calculus and the binomial theorem.
5. How can I improve my speed and accuracy in solving mathematical problems for the Mathematics Class 12 exam?
Ans. Improving speed and accuracy in solving mathematical problems can be achieved through consistent practice. Solve a variety of problems regularly, set a time limit for each problem, and gradually try to solve them faster without compromising accuracy. Additionally, learn and apply shortcuts or tricks for calculations, and develop a systematic approach to solve problems step by step.
204 videos|288 docs|139 tests
Download as PDF

Up next

Explore Courses for JEE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Maths | Mathematics (Maths) Class 12 - JEE

,

Important questions

,

study material

,

Exam

,

2016

,

pdf

,

past year papers

,

Maths | Mathematics (Maths) Class 12 - JEE

,

Class 12

,

Objective type Questions

,

video lectures

,

Free

,

mock tests for examination

,

Maths | Mathematics (Maths) Class 12 - JEE

,

practice quizzes

,

Past Year Paper

,

Outside Delhi

,

Previous Year Questions with Solutions

,

Semester Notes

,

2016

,

shortcuts and tricks

,

Summary

,

Class 12

,

Class 12

,

Past Year Paper

,

Outside Delhi

,

Sample Paper

,

Mathematics (Set - 10)

,

Mathematics (Set - 10)

,

Outside Delhi

,

Extra Questions

,

Mathematics (Set - 10)

,

Past Year Paper

,

MCQs

,

Viva Questions

,

2016

,

ppt

;