12th Math chapter 5: full solution, notes, MCQ, & free PDF | Bihar board

12th Math chapter 5: cover all important question with new latest pattern. you can download Math chapter 5 notes & full solution as PDF format in English. below we are goin to cover chapter 5 Math class 12 Bihar board

Bihar board Math chapter 5 class 12: specially we focused on Bihar board latest pattern of Math, and on this post covered class 12th Math chapter 5 based on Bihar board. check out below to get full solutions of Math chapter 5 class 12 bihar board.

12th Math chapter 5 Bihar board with NCERT-Details & Highlights

name of content	12th Math chapter 5 full solution
content	Math objective type MCQ question with answer
name of subjects	class 12 Math
important for exam	Bihar board & other state board
pattern & Level	NCERT & State level question

12th Math chapter 5 all objective solutions – download PDF

1. Consider  If f(x) is continuous at ,x= 2 then k=

1. -1
2. -2
3. 2
4. 5

Answer – B

2. If  But f(x) is continuous, then the value of k will be.

1. 
2. 
3. 
4. 

Answer – D

3. If  But if it is continuous then k =

1. – 2
2. 2
3. 3
4. 0

Answer – A

4.  =

1. tanx
2. secx
3. secx+tanx
4. 

Answer – B

5. if x = sin t, y = cos t, then  =

1. – cot t
2. tan t
3. – tan t
4. cot t

Answer – C

6. If   , So  =

1. 
2. 
3. 
4. 

Answer – A

7. If    , So  =

1. 
2.   
3. 
4. 

Answer – C

8. If y= sin( x ³ ) , then  =

1. 3x² cos( x³ )
2. 3x² sin ( x³ )
3. cos (x ³ )
4. sin ( x³ )

Answer – A

9. If y= tan ^-1 x , then  =

1. 
2. 
3. 
4. None of these

Answer – B

Bihar Board most mcq solution 12th math chapter 5

10. 

1. 5a ⁴
2. 1
3. 0
4. 5

Answer – C

11. If y = e ^sin√x , then  =

1. e^sin√x . cos√x
2. 
3. 
4. None of these

Answer – C

12. If    , So  =

1. 
2. – 
3. 
4. 

Answer – A

13. If y = sin ^-1 ( 3x – 4x ³ ), then  =

1. 
2. 
3. 
4. None of these

Answer – C

14. =

1. – cos x
2. – without x
3. without x
4. cos x

Answer – D

15. 

1. 
2. 
3. 
4. 

Answer – B

16. =

1. a tan ax
2. a sec x
3. a cot ax
4. a sec²ax

Answer – D

17. =

1. sec x . tan x
2. cosec x
3. tan ² x
4. cosec² x

Answer – A

18. =

1. 1
2. 0
3. 
4. 

Answer – B

19. =

1. 
2. – 
3. – 
4. 

Answer – C

BSEB 12th math chemistry most mcq solution

20. =

1. 0
2. 1
3. 
4. 

Answer – A

21. If y= x ⁵ , then  =

1. 5x
2. 5x⁴
3. 5
4. 5x²

Answer – B

22. If y= sin ( log x ), then  =

1. 0
2. 1
3. sin ( log x )
4. cos ( log x )

Answer – D

23. If y= sin ² x , then  =

1. 2sinx
2. cos²x
3. sin 2x
4. 2cos x

Answer – C

24. =

1. 
2. – 
3. 
4. – 

Answer – B

25. If y = log x, then  =

1. – 
2. 0
3. 1
4. 

Answer – D

26.  =

1. 
2. 1
3. e^x
4. None of these

Answer – C

27. If y = sin x ²  , then  =

1. 2x without x
2. cos x ²
3. 2x cos x ²
4. 2x cosx

Answer – C

28. If y = cos ^{– 1} ( 4x ³ – 3x )  , then  =

1. 
2. – 
3. 
4. 

Answer – B

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Bihar board 12th science stream subjects wise solution

click here to check out Bihar board science stream all subjects solutions

SL.N.	Subject name with solutions
01	Physics
02	Chemistry
03	Biology
04	Math
05	Hindi
06	English