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Roll No. .............................. Total No. of Pages : 03 Total No. of Questions : 13 BCA Examination MATHEMATICS (BRIDGE COURSE) Subject Code : BCA-102 [A0202] Time : 3 Hrs. Max. Marks : 75 INSTRUCTION TO CANDIDATES : 1. All questions of SECTION-A are compulsory. Each question carry TWO marks. 2. Attempt any NINE questions from SECTION-B. Each question carry FIVE marks. SECTION–A (15 × 2 = 30 Marks) 1. (a) A Singleton set contains : (i) Zero element (ii) One element (iii) Infinite elements (iv) None of these (b) A B is equals to .................... (c) Which of following is not an operation on sets:~ (i) Union (ii) Intersection (iii) Complement (iv) None of these (d) sec is inverse of which of following : (i) sin (ii) cos (iii) cot (iv) sec (e) cosec is inverse of...................... [M 0312]/DEP 19 8 (f) (x + a )10 has following number of terms : (i) 10 (ii) 11 (iii) 12 (iv) 9 (g) Transpose of a symmetric matrix A is................ (h) Determinant of a skew-symmetric matrix A is................. (i) If two rows of a determinant are exchanged, new determinant will be : (i) Same (ii) Negative (iii) Doubles (iv) None of these (j) Row matrix has ................ (k) Mean of first five natural number is : (i) 15 (ii) 10 (iii) 12 (iv) None of these (l) Mode of sequence 1,2,2,2,3,3,4 is .............. (m) Median of sequence 1,2,3,4,5 is ............... (n) Transpose of a skew symmetric matrix A is : (i) A (ii) -A (iii) 2A (iv) None of these (o) Set of real number is universal set of : (i) Natural numbers (ii) Integers (iii) Whole numbers (iv) All of these. SECTION–B (9 × 5 = 45 Marks) 2. State and prove De Morgan’s Law on difference of Sets. 3. If A ={1,2,3,4,5,7,8}, B={2,3,4,6,7,8,8,12},c={3,2} Find (AUC)-(A B C). 4. Give 5 advantages of statistics. 5. Using Binomial theorem, evaluate (999)5. [M 0312]/DEP 6. Using Principle of Mathematical Induction, prove that n(n+l) is a multiple of 2, where n is a Natural number. 7. Verify associative laws on addition of matrices by taking suitable example of 2x2 matrices. 8. Draw Bar graph for following data : 0-10 12 10-20 15 20-30 13 30-40 14 40-50 19 9. Find median of the following frequency distribution Wage (in Rs.) 0-10 10-20 20-30 30-40 40-50 No. of workers 22 23 24 27 10 10. If Sin = 1/5 then find cos , tan , sec , cosec , cot 11. If Aij = 2i + 3j – l for a 3x3 matrix A. Find the elements of A. 12. Write any 5 properties of Determinants. 13. Find Minors and Cofactors of 3X3 Identity Matrix. [M 0312]/DEP