Class 12th CBSE Mathematics 29 Questions 100 Marks, Question Paper, Sample Question Paper 2012 2013 Exam CBSE SiteMap

K2Questions.com

Search K2Questions for Questions, Question Papers, Videos, Articles, Universities, Career.

Class 12th CBSE Mathematics 29 Questions 100 Marks

Class 12th CBSE Mathematics 29 Questions 100 Marks



Class 12th CBSE Mathematics 29 Questions 100 Marks

Sample Paper – 2012
Class – XII
Subject –
Mathematics
MATRICES-DETERMINANTS-FNS-RELNS
                             SECTION-A                                                         
                         1. How many matrices of order 3 x 3 are possible with each entry as 0 or 1?
                         2. For any 2 x 2 matrix A, if A (adj A) =, then find |A|
                         3. If A= 
                         4. If f(x) = [ x ] and g (x) = │x │, then evaluate (f o g) (1/2) – (g o f) (-1/2)
5. How many relations can be defined from a non- empty sets A to B if n(A)=2and n(B)=3
6. A matrix A of order 3 x 3 has determinant 7, what is the value of |3A|?
7. If A is a square matrix such that A² = A, then find (I + A)² - 3A.
8. If   is a skew symmetric, find value of x.
9. If   the function f : R R defined by, find the inverse of   f  and f-(23).
10. If * be a binary operation defined on the set of integers as a*b=a+b+1 for a, b € I, find inverse element.
11. If X+Y=,Find X and Y
12. If A is 3x4 matrix and B is a matrix such that AB and BA are both defined, find order of mat B.
13. For what value of  x if
14. If A is a square matrix of order 3 such that = 25, find
15. If f(x) = 8x3 and g(x) = x⅓ , find g o f.
16. Show that the matrix A=  is Skew-symmetric.
 
                                                                                                 SECTION-B
11.By using properties of determinants show that
 maths_10_clip_image068
12. Prove by using properties of determinant 
13. If A = , then prove that aA-1 =
14. If A =  and B=,Find BA and  hence solve equations x-y =3, 2x +3y +4z =17,y+2z =7
15.Let A =NXN and Let * be a binary operation on A defined by  (a,b)*(c,d) = (ad+bc,bd) for all(a,b),(c,d) €  NXN. Determine if * is commutative, associative. Also find the identity and inverse if they exist.
 16. Using properties of determinants show that        = 0
17. Let A = ,   B =    Verify that  ( AB)T =  BT AT.
18 Using properties of determinants, show that  = 2abc(a+b+c) 3

19. If a, b, c are in AP, show that =0.
20. By using properties of determinants show that:
21. Using properties of determinants, prove that: maths_10_clip_image078  
22. Show that A = , satisfies the equation x² +  4x – 42 = 0.Hence find A-1.
23.Using properties of determinants, prove that:                                          24.If a,b,c are in A.P then find the value of the determinant
25. Prove using properties that  = 3(a+b+c)(ab+bc+ca) .
26. Show that the function F: R - {-1} ®R - {-1}, given by f(x) = is a bijection.Also find f 
 27.  If A= , then by induction show that, if a& b are constants.
 28. Prove that :   = (1 – x2)
.
29. maths_10_clip_image086
30. Express A =as sum of a symmetric and skew symmetric matrix.

                                                                        SECTION-C (6x6=36 Marks)            
31. If A =  find  A-1 and hence solve the equations:  2x – 3y + 5z = 11, 3x + 2y – 4z = -5, x +  y - 2z  = - 3.
32. If A =  find A-1. Hence solve the equations: x – y + z = 4,    x – 2y – 2z = 9,   2x + y + 3z = 1
33. Show that   = 2 xyz (x + y + z) 3
34. Prove that   
35. Consider f : R+ --> [-5, ∞) given by f(x) = 9x² + 6x – 5.  Show that f is bijective. Also find the inverse of  f.
 36. Using elementary row transformation find the inverse of the matrix  
  37. A= 
38. Prove using properties that maths_10_clip_image082
39.Using matrices solve  system of equations:x+3y+4z = 8,2x+y+2z =5,5x+y+z =7
40. Let f : N → R be a function defined as f(x) = 4x2 + 12 x + 15. Show that f : N → S where, S is the range
 of f , is invertible. Find f -1.
41. If A =  
 Paper Submitted By:
Name         Esther praveen
Email         esther.p_ood@gemsedu.com
Phone No. 043340191




Questions

Articles

Question Paper

Free Books Download

Free Videos

5th Standard Questions 5th GRADE Articles 5th GRADE Question Paper 5th GRADE Free Books Download 5th GRADE Free Videos
6th Standard Questions 6th GRADE Articles 6th GRADE Question Paper 6th GRADE Free Books Download 6th GRADE Free Videos
7th Standard Questions 7th GRADE Articles 7th GRADE Question Paper 7th GRADE Free Books Download 7th GRADE Free Videos
8th Standard Questions 8th GRADE Articles 8th GRADE Question Paper 8th GRADE Free Books Download 8th GRADE Free Videos
9th Standard Questions 9th GRADE Articles 9th GRADE Question Paper 9th GRADE Free Books Download 9th GRADE Free Videos
10th Standard Questions 10TH GRADE Articles 10TH GRADE Question Paper 10TH GRADE Free Books Download 10TH GRADE Free Videos
11th Standard Questions 11TH GRADE Articles 11TH GRADE Question Paper 11TH GRADE Free Books Download 11TH GRADE Free Videos
12th Standard Questions 12TH GRADE Articles 12TH GRADE Question Paper 12TH GRADE Free Books Download 12TH GRADE Free Videos
BA Questions BA DEGREE Articles BA DEGREE Question Paper BA DEGREE Free Books Download BA DEGREE Free Videos
BCOM Questions BCOM DEGREE Articles BCOM DEGREE Question Paper BCOM DEGREE Free Books Download BCOM DEGREE Free Videos
BSC Questions BSC DEGREE Articles BSC DEGREE Question Paper BSC DEGREE Free Books Download BSC DEGREE Free Videos
LLB Questions LLB DEGREE Articles LLB DEGREE Question Paper LLB DEGREE Free Books Download LLB DEGREE Free Videos
BBM Questions BBM DEGREE Articles BBM DEGREE Question Paper BBM DEGREE Free Books Download BBM DEGREE Free Videos
MA Questions MA DEGREE Articles MA DEGREE Question Paper MA DEGREE Free Books Download MA DEGREE Free Videos
MCOM Questions MCOM DEGREE Articles MCOM DEGREE Question Paper MCOM DEGREE Free Books Download MCOM DEGREE Free Videos
MSC Questions MSC DEGREE Articles MSC DEGREE Question Paper MSC DEGREE Free Books Download MSC DEGREE Free Videos
LLM Questions LLM DEGREE Articles LLM DEGREE Question Paper LLM DEGREE Free Books Download LLM DEGREE Free Videos
MBA MARKETING Questions MBA MARKETING Articles MBA MARKETING Question Paper MBA MARKETING Free Books Download MBA MARKETING Free Videos
MBA FINANCE Questions MBA FINANCE Articles MBA FINANCE Question Paper MBA FINANCE Free Books Download MBA FINANCE Free Videos
MBA HR Questions MBA HR Articles MBA HR Question Paper MBA HR Free Books Download MBA HR Free Videos
MBA OPERATIONS Questions MBA OPERATIONS Articles MBA OPERATIONS Question Paper MBA OPERATIONS Free Books Download MBA OPERATIONS Free Videos
MBA SYSTEMS Questions MBA SYSTEMS Articles MBA SYSTEMS Question Paper MBA SYSTEMS Free Books Download MBA SYSTEMS Free Videos


About us | SiteMap | Terms of use | Privacy Policy | Disclaimer | Contact us | ©2010 K2Questions.com