JEE Exam  >  JEE Notes  >  Mathematics (Maths) Class 12  >  Past Year Paper, Mathematics (Set - 5), Outside Delhi, 2016, Class 12, Maths

Past Year Paper, Mathematics (Set - 5), 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*+"
-% 
 	


	


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


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

 				*+#&'							(			!)			
	
 			
		*+#&'							(			!)		
	
 &'	!,	-.		
	!						!,)




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

	"

#


$

%
'

	()*(
 7"71$0#83"
9
-$:#11$
 
%
	

	
$
	
 $
  
? ?
  a4,b 3!
? ?
 ab 6 3 . ;
? ?
 ab
<"$ 
& ,  
?? ??
   a4 b 3 and a b 6 3, . 

	
? ?
   ab

# 
??
??
??



123
A
4  2 5
!
??
??
??
??
??

23
B4 5
21
!'()

*;



<"$ 
&
??
??
??



123
A
4  2 5
	
??
??
??
??
??

23
B4 5
21
	'()

*#




+ ()##*+,
(((4
-$ 
%
	






)##*

+,	
Page 4




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

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






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


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


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

 				*+#&'							(			!)			
	
 			
		*+#&'							(			!)		
	
 &'	!,	-.		
	!						!,)




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

	"

#


$

%
'

	()*(
 7"71$0#83"
9
-$:#11$
 
%
	

	
$
	
 $
  
? ?
  a4,b 3!
? ?
 ab 6 3 . ;
? ?
 ab
<"$ 
& ,  
?? ??
   a4 b 3 and a b 6 3, . 

	
? ?
   ab

# 
??
??
??



123
A
4  2 5
!
??
??
??
??
??

23
B4 5
21
!'()

*;



<"$ 
&
??
??
??



123
A
4  2 5
	
??
??
??
??
??

23
B4 5
21
	'()

*#




+ ()##*+,
(((4
-$ 
%
	






)##*

+,	
+ 	 
 
-$=
 
 
 
ab b c c a
bc ca a b
ca a b b c
%
	
 
 
 
ab b c c a
bc ca a b
ca a b b c

	 *(,!<"$(#;,!
? ?
 a3b
#
? ?
 ab
;
1
--2&-##=17 
"






.




? ?
 a3b 	
? ?
 ab
	 
	-
 !&
 !$"%,

-."

#


+
%
'

-.()+*
(
- #>1"
1#!
(?
)
%" /(?
;:#6
 >0(?
#
;:
 #8316%(?
"9#"
@1<"$ "
#3AB
C
1

	 2		
 
	

		
&
/


# 
	
3#
0
# 
	


4
	5
#

	

	
 2	%
		
	 2	6


7
Page 5




	
	
		 		
	
	


 		

	

	

	
	
	
	
		 
	
	
				
				

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






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


		
	

 


	


	



	
	
 
		
 	


	


		
	


 




 
	
		


	!

	

		"		#



	

	 		 	

	





	


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

 				*+#&'							(			!)			
	
 			
		*+#&'							(			!)		
	
 &'	!,	-.		
	!						!,)




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

	"

#


$

%
'

	()*(
 7"71$0#83"
9
-$:#11$
 
%
	

	
$
	
 $
  
? ?
  a4,b 3!
? ?
 ab 6 3 . ;
? ?
 ab
<"$ 
& ,  
?? ??
   a4 b 3 and a b 6 3, . 

	
? ?
   ab

# 
??
??
??



123
A
4  2 5
!
??
??
??
??
??

23
B4 5
21
!'()

*;



<"$ 
&
??
??
??



123
A
4  2 5
	
??
??
??
??
??

23
B4 5
21
	'()

*#




+ ()##*+,
(((4
-$ 
%
	






)##*

+,	
+ 	 
 
-$=
 
 
 
ab b c c a
bc ca a b
ca a b b c
%
	
 
 
 
ab b c c a
bc ca a b
ca a b b c

	 *(,!<"$(#;,!
? ?
 a3b
#
? ?
 ab
;
1
--2&-##=17 
"






.




? ?
 a3b 	
? ?
 ab
	 
	-
 !&
 !$"%,

-."

#


+
%
'

-.()+*
(
- #>1"
1#!
(?
)
%" /(?
;:#6
 >0(?
#
;:
 #8316%(?
"9#"
@1<"$ "
#3AB
C
1

	 2		
 
	

		
&
/


# 
	
3#
0
# 
	


4
	5
#

	

	
 2	%
		
	 2	6


7
 	 
!"
/ 4$+D
%=
1
1
0
,0
e1
()
e1
1
,
f
?
?
?
?
?
?
?
?




x
x
x
x
x
  
  
 


# 
2

	
% -
1
1
e1
, if 0
()  
e1
1, if 0
f
?
?
?
?
?
?
?
?




x
x
x
x
x
 
 



	
. <"$={}
5
1
1  2  3 d
?
 xx x x
'
<"$-
2
 
sin
13cos
?


xx
x
x
0
d
8		-{}
5
1
1  2  3 d
?
 xx x x
"
8		-
2
 
sin
13cos
?


xx
x
x
0
d
Read More
204 videos|290 docs|139 tests

Top Courses for JEE

FAQs on Past Year Paper, Mathematics (Set - 5), Outside Delhi, 2016, Class 12, Maths - Mathematics (Maths) Class 12 - JEE

1. What are the important topics to study for the Class 12 Mathematics exam?
Ans. The important topics to study for the Class 12 Mathematics exam include calculus, algebra, coordinate geometry, probability, and vectors. It is essential to have a strong understanding of these topics to perform well in the exam.
2. How can I improve my problem-solving skills in Mathematics?
Ans. To improve problem-solving skills in Mathematics, it is important to practice regularly. Solve a variety of problems from different sources, including textbooks, past year papers, and online resources. Break down complex problems into simpler steps and try to understand the underlying concepts. Seeking help from teachers or joining study groups can also aid in improving problem-solving skills.
3. Are there any tips to score well in the Class 12 Mathematics exam?
Ans. Yes, here are some tips to score well in the Class 12 Mathematics exam: - Understand the concepts thoroughly and practice solving a variety of problems. - Solve past year papers and sample papers to become familiar with the exam pattern. - Manage your time effectively during the exam and attempt the easier questions first. - Show all the steps and workings clearly to earn partial marks even if the final answer is incorrect. - Revise regularly and focus on understanding the concepts rather than rote memorization.
4. How can I overcome the fear of Mathematics before the exam?
Ans. Overcoming the fear of Mathematics before the exam requires a positive mindset and effective strategies. Here are some tips: - Identify the specific areas or topics that make you anxious and focus on understanding them thoroughly. - Break down complex problems into smaller steps and solve them systematically. - Seek help from teachers, classmates, or tutors to clarify doubts and gain confidence. - Practice regularly to build familiarity and improve problem-solving skills. - Maintain a positive attitude, believe in your abilities, and remind yourself that with consistent effort, you can overcome any challenges in Mathematics.
5. Are there any online resources or apps available to help with Mathematics preparation?
Ans. Yes, there are several online resources and apps available to help with Mathematics preparation. Some popular ones include Khan Academy, Brilliant, Mathway, and Photomath. These platforms offer video tutorials, practice exercises, and step-by-step solutions to problems. Additionally, there are various websites and forums where students can ask questions and get answers from experts. Utilizing these resources can enhance understanding and provide additional practice opportunities for better exam preparation.
204 videos|290 docs|139 tests
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

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

Mathematics (Set - 5)

,

2016

,

Objective type Questions

,

Exam

,

video lectures

,

Class 12

,

Maths | Mathematics (Maths) Class 12 - JEE

,

Sample Paper

,

ppt

,

Class 12

,

mock tests for examination

,

2016

,

Class 12

,

Past Year Paper

,

pdf

,

practice quizzes

,

MCQs

,

Outside Delhi

,

Outside Delhi

,

Important questions

,

past year papers

,

Extra Questions

,

shortcuts and tricks

,

Outside Delhi

,

2016

,

study material

,

Maths | Mathematics (Maths) Class 12 - JEE

,

Summary

,

Free

,

Mathematics (Set - 5)

,

Viva Questions

,

Previous Year Questions with Solutions

,

Past Year Paper

,

Mathematics (Set - 5)

,

Semester Notes

,

Maths | Mathematics (Maths) Class 12 - JEE

,

Past Year Paper

;