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UPTET (Uttar Pradesh Teacher Eligibility Test) सरकारी नौकरी , नियुक्ति परिणाम , टीईटी , UPTET , TET

CBSE Important Questions class XII mathematics 2008 4

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)
  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

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