CBSE Guess > Papers > Question Papers > Class XII > 2003 > Mathematics > Delhi Set -II MATHEMATICS—2003 (Set II—Delhi) Note: Except for the following questions, all the remaning questions have been asked in Set I. D. B., 2003. SECTION - A Q. 3. Differentiate log Q. 7. Evaluate: Q. 10. Prove that: Q. 14. In a correlation analysis, the following values are obtained about the variables Q. 17. Using matrix method, solve the following equations: SECTION - B Q. 19. Three forces of magnitude P, Q and R acting at a point are in equilibrium. The angle between P and Q is 1200 and between P and R is 90 0 . Show that Q. 20. A train moving with a velocity of 90 km/hr is brought to rest in 3 minutes by applying brakes. Calculate the retardation produced and the distance traveled by the before it comes to rest. Q. 24. Solve the following differentia equation: SECTION - C Q. 19. The first three moments of a distribution about the value 2 of the variable are 1, 16 and -40 respectively. Calculate the mean, variance and Q. 21. An exchange broker converted Rs. 1,00,000 into pound sterling when the Mumbai - London rate was 1.66 pence and sold out the proceeds when the rate fell to 1.62 pence. Find the percentage profit. Q. 24. A, B and C entered into a business and contributed Rs. 36,000, Rs. 60,000 and Rs. 30,000 respectively. They had the understanding that after allowing
CBSE 2003 Question Papers Class XII
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and the value of 
Also calculate the first three moments about the origin. 
of the profit to C as a Manager, the remainder will be shared amongst them in proportion to their contribution towards the capital. At the end of the year, C received Rs. 8,000. What was the total profit and how much did the other partners receive? 
