CBSE Guess > Papers > Question Papers > Class XII > 2004 > Maths > Outside Delhi SetIII
MATHS (Set III—Outside Delhi)
Except for the following questions, all the remaining questions have been asked in Set I and Set II.
SECTION  A
Q. 1. Using properties of determinants, Prove that
Q. 4. Solve the differentia equation:
Q. 9. Evaluate:
Q. 13. Evaluate:
Or
Evaluate:
Q. 15. Differentiate
Q. 18. Find the area of the region bounded by the curve x^{2} = 4y and the line
SECTION  B
Q. 19. Prove that
Or
Use vector to prove the following:
If a, b and are the lengths of the sides opposite respectively to angles A, b and C of
Q. 20. Show that the area of a parallelogram having diagonals
Q. 21. Show that the line whose vector equation is is parallel to the plane Also find the distance between them.
Q. 22. Find the Cartesian and vector equations of a which passes through the point (1, 2, 3) and is parallel to the line
Q. 23. Two forces of 8N and 6N act at a point and are inclined to each other at an angle of 600. Find the magnitude and direction of the resultant.
SECTION  C
Q. 21. A factory has three machines A, B and C, which produce 100, 200 and 300 items of a particular type daily. The machines produce 2% 3% and 5% defective items respectively. One day when the production was over, an item was pocked up randomly and it was fond to defective. Find the probability that it was produced by machine A.
Q. 25. A radio manufacturer produce x sets per week and sells at Rs. P per set, where . The cost of production of x sets is Rs. (x^{2} +78x+2000). Find the number of sets to be produced and sold per week so as to have maximum profit. Calculate the maximum profit also.
CBSE 2004 Question Papers Class XII
