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 CBSE Guess > Papers > Important Questions > Class XII > 2008 > Maths > Maths By Mrs. Geethanjali Bhatt Differential Calculus And Matrices And Determinants
Q. 1. If sin y = xcos(a + y) and find k (3 marks) Q. 2. If f(x) = find f’(o) (3marks) Q. 3. Verify the mean value theorem for f(x) = in [1,3] (4 marks) Q. 4. If x = a ( + ) y = (1 + cos ) find (4 marks) Q. 5. If xpyq = (x + y) p+q prove that Or (4 marks) Q. 6. Consider the function defined as follows for . In each case ,what choice (if any) of f(0) will make the function continuous at x = 0. (4 marks) Q. 7. If x = acos + bsin y = asin - bcos(4 marks) Q. 8. Or (4 marks) Construct a3 x 3 matrix A = [aij]whose elements are given by aij = ( 3 marks) Solve the matrix equation for x (3 marks) Solve the following equation for x (3 marks) Prove that = a + b + c (3 marks) Solve the following equations for using matrices  x - y + z = 4      2x + y -3z = 0      x + y + z = 2 ( 6 marks) Determinant of a skew symmetrix matrix of odd orderis always ( 1 marks)    a) zero    b) one c) negative one d) none If A is a square matrix of order 3 then A.Adj (A) is (1 marks) a) | A | I3 b) | A | I2 C) | A | I d) none