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 for which the following holds:
Q. 4. Evaluate:
Q. 7. Using properties of determinants, show that
Q. 12. Evaluate:
Q. 13. The two lines of regression are given by and
Find and the coefficient of correlation between
Q. 14. A particle moves along the curve Find the points on the curve at which the ycoordinate is changing twice as first as xcoordinate.
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 so that the vectors and are (i) parallel, (ii) perpendicular to each other.
Q. 22. Find the equation of the plane passing through the line of intersection of the planes
and parallel to the line
SECTION  C
Q. 21. For a near normal distribution, Karl Pearson's coefficient 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
