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Maths
Class - XII 1999(CBSE)
You are on Set no 2 Question 1 to
30
Q1) If y = cot x, show that
d2y/dx2 + 2y dy/dx = 0 (Marks
2)
Q3) If
| A = |
 |
2
2
-3 1
4 0 |
 |
B = |
|
6 2
1
3
0 4 |
|
find the matrix C such that A
+ B + C is a zero matrix. (Marks 2)
Q5) Construct a 3 x 2 matrix whose
elements in the ith row and the jth coloumn
are given by:-
aij = (3i + j)/2 (Marks 2)
Q9) Evaluate:-
 |
 (x2
+ 6x - 4) dx (Marks
2) |
Q14) Find a unit vector
perpendicular to both  = 2 +  - 2 and  = 3 - + (Marks 2)
Q15
Find
 if
vectors =
3 + - 2 and = + - 3 are perpendicular to
each other. (Marks 2)
Q16)
Sketch the region
common to the circle x2 + y2 = 25 and the
parabola y2 = 8x. Also, find the area of the region using
Integration. (Marks 4)
Q17) Evaluate 14 f(x) dx, when f(x) = |x - 1| + |x
- 2| + |x - 3| (Marks 4)
Q24)
Evaluate
|
x2
dx (Marks 4)
(x2 + 3x -
3) |
Q28) Given the following pairs of
values of variables x and y:
| x: |
2 |
4 |
6 |
8 |
10 |
12 |
14 |
| y: |
16 |
14 |
12 |
10 |
8 |
6 |
4 | (i) Find the Karl Pearson's coefficient of
Correlation.
(ii) Interpret the result
(iii) Confirm your
interpretation with the help of a scatter diagram. (Marks
6)
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