CBSE Guess > Papers > Question Papers > Class XII > 2003 > Mathematics > Compartment Outside Delhi Set -II MATHEMATICS—2003 (Set II—Compartment Outside Delhi) Note: Except for the following questions, all the remaining question have been asked in Set I . SECTION - A Q. 2. Find the values of Q. 4. Evaluate: Q. 7. Using properties of determinants, show that Q. 12. Evaluate: Q. 13. The two lines of regression are given by Q. 14. A particle moves along the curve Q. 18. Using integration, find the area of the triangle ABC whose vertices are A(3, 0), B(4, 5) and C(5, 1). SECTION - B Q. 21. Find the values of Q. 22. Find the equation of the plane passing through the line of intersection of the planes SECTION - C Q. 21. For a near normal distribution, Karl Pearson's co-efficient of skewness is 0.6 the standard deviation of the distribution is 13 and the mean is 42. Find the median and mode. Q. 22. The first three moments about the value 4 of a variable are -1.5, 17 and -30 respectively. Find the mean, variance and
CBSE 2003 Question Papers Class XII
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for which the following holds: 
and 
and the co-efficient of correlation between 
Find the points on the curve at which the y-coordinate is changing twice as first as x-coordinate. 
so that the vectors 
and 
are (i) parallel, (ii) perpendicular to each other. 
and parallel to the line 
