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 x^py^q = (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)

1. Construct a3 x 3 matrix A = [aij]whose elements are given by aij = ( 3 marks)
2. Solve the matrix equation for x (3 marks)
3. Solve the following equation for x (3 marks)
4. Prove that = a + b + c (3 marks)
5. Solve the following equations for using matrices  x - y + z = 4      2x + y -3z = 0      x + y + z = 2 ( 6 marks)
6. Determinant of a skew symmetrix matrix of odd orderis always ( 1 marks)  
    a) zero   
   b) one
   c) negative one
   d) none
7. 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