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 ![](images/2003_mathematics_delhi_set2_clip_image002.gif)
Q. 7. Evaluate: ![](images/2003_mathematics_delhi_set2_clip_image004.gif)
Q. 10. Prove that: ![](images/2003_mathematics_delhi_set2_clip_image006.gif)
Q. 14. In a correlation analysis, the following values are obtained about the variables ![](images/2003_mathematics_delhi_set2_clip_image008.gif)
![](images/2003_mathematics_delhi_set2_clip_image010.gif)
Find the equations of line of regression of and the value of ![](images/2003_mathematics_delhi_set2_clip_image014.gif)
Q. 17. Using matrix method, solve the following equations:
![](images/2003_mathematics_delhi_set2_clip_image016.gif)
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 ![](images/2003_mathematics_delhi_set2_clip_image018.gif)
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: ![](images/2003_mathematics_delhi_set2_clip_image020.gif)
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 Also calculate the first three moments about the origin.
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 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?
CBSE 2003 Question Papers Class XII
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